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Find the lowest common multiple of 24, 36 and 40.
- a)120
- b)240
- c)360
- d)480
Correct answer is option 'C'. Can you explain this answer?
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Find the lowest common multiple of 24, 36 and 40.a)120b)240c)360d)480C...
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Find the lowest common multiple of 24, 36 and 40.a)120b)240c)360d)480C...
Solution:
To find the lowest common multiple (LCM) of 24, 36, and 40, we need to follow the following steps:
Step 1: Find the prime factorization of each number.
- Prime factorization of 24: 2 × 2 × 2 × 3
- Prime factorization of 36: 2 × 2 × 3 × 3
- Prime factorization of 40: 2 × 2 × 2 × 5
Step 2: Identify the highest power of each prime factor.
- 2: highest power is 3 (from 24 and 40)
- 3: highest power is 2 (from 24 and 36)
- 5: highest power is 1 (from 40)
Step 3: Multiply the highest powers of each prime factor.
- 2³ × 3² × 5¹ = 360
Therefore, the LCM of 24, 36, and 40 is 360, which is option C.
To find the lowest common multiple (LCM) of 24, 36, and 40, we need to follow the following steps:
Step 1: Find the prime factorization of each number.
- Prime factorization of 24: 2 × 2 × 2 × 3
- Prime factorization of 36: 2 × 2 × 3 × 3
- Prime factorization of 40: 2 × 2 × 2 × 5
Step 2: Identify the highest power of each prime factor.
- 2: highest power is 3 (from 24 and 40)
- 3: highest power is 2 (from 24 and 36)
- 5: highest power is 1 (from 40)
Step 3: Multiply the highest powers of each prime factor.
- 2³ × 3² × 5¹ = 360
Therefore, the LCM of 24, 36, and 40 is 360, which is option C.
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Find the lowest common multiple of 24, 36 and 40.a)120b)240c)360d)480Correct answer is option 'C'. Can you explain this answer?
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