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What is the LCM of 36, 75 and 80?
- a)3600
- b)3500
- c)3400
- d)3000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the LCM of 36, 75 and 80?a)3600 b)3500c)3400 d)3000Correct ans...
LCM = 2×3×5×2×3×5×4 = 3600
This question is part of UPSC exam. View all Class 5 courses
Most Upvoted Answer
What is the LCM of 36, 75 and 80?a)3600 b)3500c)3400 d)3000Correct ans...
To find the Least Common Multiple (LCM) of 36, 75, and 80, we can use the prime factorization method.
Prime factorization of 36:
36 = 2^2 * 3^2
Prime factorization of 75:
75 = 3 * 5^2
Prime factorization of 80:
80 = 2^4 * 5
Finding the LCM:
To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers.
- The highest power of 2 is 4.
- The highest power of 3 is 2.
- The highest power of 5 is 2.
Therefore, the LCM of 36, 75, and 80 is:
LCM = 2^4 * 3^2 * 5^2
= 16 * 9 * 25
= 3600
Hence, the correct answer is option A) 3600.
Prime factorization of 36:
36 = 2^2 * 3^2
Prime factorization of 75:
75 = 3 * 5^2
Prime factorization of 80:
80 = 2^4 * 5
Finding the LCM:
To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers.
- The highest power of 2 is 4.
- The highest power of 3 is 2.
- The highest power of 5 is 2.
Therefore, the LCM of 36, 75, and 80 is:
LCM = 2^4 * 3^2 * 5^2
= 16 * 9 * 25
= 3600
Hence, the correct answer is option A) 3600.
Community Answer
What is the LCM of 36, 75 and 80?a)3600 b)3500c)3400 d)3000Correct ans...
A
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What is the LCM of 36, 75 and 80?a)3600 b)3500c)3400 d)3000Correct answer is option 'A'. Can you explain this answer?
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