Is it true that the L.C.M. of 108, 135, and 162 is 1620?

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True

False

answer is A.

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Detailed Solution

We have been given the numbers 108, 135, and 162.
The prime factorization of 108, 135 and 162,

108 = 2 \times 2 \times 3 \times 3 \times 3

135 = 3 \times 3 \times 3 \times 5

162 = 2 \times 3 \times 3 \times 3 \times 3

Calculating the LCM of 108, 135 and 162,
LCM

= 3 × 3 × 3 × 3 × 2 × 2 × 5

LCM

= 1620

So, the LCM of 108, 135, 162 is 1620.
Hence, option 1 is correct, and the given statement is true.

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