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The smallest natural number which is divisible by 12, 28, 36 and 27 is:
Question

The smallest natural number which is divisible by 12, 28, 36 and 27 is:

A.

822

B.

688

C.

756

D.

691

Correct option is C

Given:

We are to find the smallest natural number divisible by:

12, 28, 36, and 27.

Solution:

Prime factorization:

12 = 22×32^2 \times 3 ​​

28 = 22×7 2^2 \times 7​​

36 = 22×32 2^2 \times 3^2 ​​

27 = 33 3^3 ​​

LCM = 22×33×7=4×27×72^2 \times 3^3 \times 7 = 4 \times 27 \times 7​ = 756

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