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The LCM of 84 , 105 and 140 is :
Question

The LCM of 84 , 105 and 140 is :

A.

360

B.

240

C.

120

D.

420

Correct option is D

Given:

Numbers  84 , 105 and 140

Solution: 

84=2×2×3×7 105=3×5×7 140=2×2×5×784 = 2\times 2 \times 3 \times 7 \\\ \\105 = 3\times5\times 7 \\\ \\140 = 2\times 2 \times 5 \times 7    

LCM = 2×2×3×5×72\times 2 \times 3 \times 5 \times 7

         = 420

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