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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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