Find the lowest common multiple of 24, 36 and 40.

Mcq Added by: Mathematics Mcqs - Maths Mcqs are very important for every test. prepare for NTS, FPSC, PPSC, SPSC, CSS, PMS Test Preparation. and all other testing services. Most of the test syllabus contain Mathematics test portion. Here you will find most important Mathematics Mcqs. here these Mcqs will help you getting good marks in this Section. Here you will find most important Mcqs of Mathematics from Basic to Advance. some of the most important sub categories are: Average, Percentage, Problem on Ages, Time and Distance, HCF and LCM, Logarithms, Discount, Interest, Ratio & Proportion, Decimal Fraction and other. MATHEMATICS MCQS 1. 17. 2. 18. 3. 19. 4. 20. 5. 21. 6. 22. 7. 23. 8. 24. 9. 25. 10. 26. 11. 27. 12. 28. 13. 29. 14. 30. 15. 31. 16. 32. - Problems on L.C.M and H.C.F

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Correct Answer - Option 1 : 360 Concept Used: Concept of LCM LCM (Lowest Common Multiple): LCM of x and y is the least common multiple of x and y which is perfectly divisible by both x and y For Example, 3 → Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, … 4 → Multiple of 4 are 4, 8, 12, 16, 20, 24, 28, 32, … Here common are 12 and 24. But of these 12 is lowest ∴ LCM of 3 and 4 is 12 Calculation: Factors of 24, 36 and 40 are: 24 = 2 × 2 × 2 × 3 36 = 2 × 2 × 3 × 3 40 = 2 × 2 × 2 × 5 ∴ LCM of 24, 36 and 40 = 2 × 2 × 3 × 3 × 2 × 5 = 360 LCM is the smallest common multiple of numbers. Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (766) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (24.5k)

Given numbers are 24,36,40 The least common multiple of numbers can be find using the prime factorization method or LCM formula. The LCM of 24,36,40 is 360. Find LCM of 24,36,40 with Prime Factorization 2 24, 36, 40 2 12, 18, 20 2 6, 9, 10 3 3, 9, 5 1, 3, 5 Multiply the prime numbers at the bottom and the left side. 2 x 2 x 2 x 3 x 1 x 3 x 5 = 360 Therefore, the lowest common multiple of 24,36,40 is 360. LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/ LCM = 34560/(4x24) LCM = 34560/96 LCM = 360 Thus, we can understand that the LCM of 24,36,40 is 360. 1. What is the LCM of 24, 36, 40? Answer: LCM of 24, 36, 40 is 360. 2. How to calculate the LCM of 24, 36, 40? The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 24, 36, 40. 3. What is the LCM formula? The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/.

LCM of 24, 36, and 40 LCM of 24, 36, and 40 is the smallest number among all common multiples of 24, 36, and 40. The first few multiples of 24, 36, and 40 are (24, 48, 72, 96, 120 . . .), (36, 72, 108, 144, 180 . . .), and (40, 80, 120, 160, 200 . . .) respectively. There are 3 commonly used methods to find LCM of 24, 36, 40 - by division method, by listing multiples, and by prime factorization. 1. 2. 3. 4. Methods to Find LCM of 24, 36, and 40 The methods to find the LCM of 24, 36, and 40 are explained below. • By Division Method • By Prime Factorization Method • By Listing Multiples LCM of 24, 36, and 40 by Division Method To calculate the LCM of 24, 36, and 40 by the • Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 24, 36, and 40. Write this • Step 2: If any of the given numbers (24, 36, 40) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number. • Step 3: Continue the steps until only 1s are left in the last row. The LCM of 24, 36, and 40 is the product of all prime numbers on the left, i.e. LCM(24, 36, 40) by division method = 2 × 2 × 2 × 3 × 3 × 5 = 360. LCM of 24, 36, and 40 by Prime Factorization Prime factorization of 24, 36, and 40 is (2 × 2 × 2 × 3) = 2 3× 3 1, (2 × 2 × 3 × 3) = 2 2× 3 2, and (2 × 2 × 2 × 5) = 2 3× 5 1 respectively. LCM of 24, 36, and 40 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2...

Least Common Multiple is : 360 Calculate Least Common Multiple for : 24, 36 and 40 Factorize of the above numbers : 24 = 2 3 • 3 36 = 2 2 • 3 2 40 = 2 3 • 5 Build a prime factors table Number of times each prime factor appears in the factorization of : Prime Factor Number 24 Number 36 Number 40 L.C.M (max) 2 3 2 3 3 3 1 2 0 2 5 0 0 1 1 LCM = 2 3•3 2•5 Least Common Multiple is : 360

Hint: Lowest common multiple of three numbers is defined as the smallest number which is divisible by all of them. Lowest common multiple is commonly abbreviated as LCM. We can use the prime factorization method for finding LCM. As per question, we have to find the lowest common multiple of 24, 36 and 40. We have to find the smallest number which is divisible by 24, 36 and 40. Let us use the prime factorization method for finding LCM of 24, 36 and 40. Step 1: Calculate prime factors of 24, 36 and 40. Prime factorization of 24: $\begin\]

Correct Answer - Option 2 : 360 GIVEN: The number is 24, 36, and 40 CONCEPT USED: Prime factorization of Number is the multiplication of the Least prime number CALCULATION: The number is 24, 36, and 40 ⇒ 24 = 2 × 2 × 2 × 3 ⇒ 36 = 2 × 2 × 3 × 3 ⇒ 40 = 2 × 2 × 2 × 5 ⇒ Least Common Multiple = 2 × 2 × 2 × 3 × 3 × 5 = 360 ∴ The L.C.M of 24, 36, and 40 is 360 Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (10.0k) • (5.6k) • (36.4k) • (7.5k) • (10.7k) • (11.8k) • (11.2k) • (6.8k) • (4.9k) • (5.3k) • (2.8k) • (19.9k) • (959) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (766) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (24.5k)

Least Common Multiple is : 360 Calculate Least Common Multiple for : 24, 36 and 40 Factorize of the above numbers : 24 = 2 3 • 3 36 = 2 2 • 3 2 40 = 2 3 • 5 Build a prime factors table Number of times each prime factor appears in the factorization of : Prime Factor Number 24 Number 36 Number 40 L.C.M (max) 2 3 2 3 3 3 1 2 0 2 5 0 0 1 1 LCM = 2 3•3 2•5 Least Common Multiple is : 360

Mcq Added by: Mathematics Mcqs - Maths Mcqs are very important for every test. prepare for NTS, FPSC, PPSC, SPSC, CSS, PMS Test Preparation. and all other testing services. Most of the test syllabus contain Mathematics test portion. Here you will find most important Mathematics Mcqs. here these Mcqs will help you getting good marks in this Section. Here you will find most important Mcqs of Mathematics from Basic to Advance. some of the most important sub categories are: Average, Percentage, Problem on Ages, Time and Distance, HCF and LCM, Logarithms, Discount, Interest, Ratio & Proportion, Decimal Fraction and other. MATHEMATICS MCQS 1. 17. 2. 18. 3. 19. 4. 20. 5. 21. 6. 22. 7. 23. 8. 24. 9. 25. 10. 26. 11. 27. 12. 28. 13. 29. 14. 30. 15. 31. 16. 32. - Problems on L.C.M and H.C.F