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Find the L.C.M. of 12, 24 and 36.
  • a)
    36
  • b)
    24
  • c)
    72
  • d)
    108
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the L.C.M. of 12, 24 and 36.a)36b)24c)72d)108Correct answer is op...
To find the L.C.M. (Least Common Multiple) of the numbers 12, 24, and 36, we can follow these steps:



  • List the multiples of each number:


    • Multiples of 12: 12, 24, 36, 48, 60, 72, ...

    • Multiples of 24: 24, 48, 72, 96, ...

    • Multiples of 36: 36, 72, 108, ...



  • Identify the common multiples: The common multiples from the lists above are 72, 108, ...

  • Find the smallest common multiple: The smallest common multiple is 72.



Therefore, the L.C.M. of 12, 24, and 36 is 72.
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Find the L.C.M. of 12, 24 and 36.a)36b)24c)72d)108Correct answer is op...


Steps to find the L.C.M. of 12, 24, and 36:

Prime Factorization:
- The prime factorization of 12 is 2 x 2 x 3 = 2^2 x 3.
- The prime factorization of 24 is 2 x 2 x 2 x 3 = 2^3 x 3.
- The prime factorization of 36 is 2 x 2 x 3 x 3 = 2^2 x 3^2.

Finding the L.C.M.:
- Identify all the unique prime factors present in the prime factorization of each number: 2^3 x 3^2.
- Multiply these unique prime factors together to find the L.C.M.: 2^3 x 3^2 = 8 x 9 = 72.

Therefore, the L.C.M. of 12, 24, and 36 is 72.
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