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Q.

Find the LCM of 72, 108 and 2100 ?

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a

37200

b

37800

c

37500

d

28500

answer is B.

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Detailed Solution

$72 = 3^{2} \times 2^{3}$

$108 = 2^{2} \times 3^{3}$

$2100 = 2^{2} \times 3 \times 5^{2} \times 7$

$L . C . M = 2^{3} \times 3^{3} \times 5^{2} \times 7$

$= 37800$

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