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How do you find the least common multiple of 35 and 168?

1 Answer

Aug 13, 2017

$L . C . M = 2 \times 2 \times 2 \times 3 \times 5 \times 7 = 840$ $L.C.M = 2 xx 2 xx 2 xx 3 xx 5 xx 7 = 840$

Explanation:

Multiples of $35 = 5 \times 7$ $35 = 5 xx 7$

Multiples of $168 = 2 \times 2 \times 2 \times 3 \times 5 \times 7$ $168 = 2 xx 2 xx 2 xx 3 xx 5 xx 7$

Remember $5 and 7$ $color(red)5 and color(blue)7$ are also multiples of $35$ $35$

Hence we'll use $\to 2 \times 2 \times 2 \times 3 \times 5 \times 7$ $-> 2 xx 2 xx 2 xx 3 xx 5 xx 7$ as the L.C.M of $35 and 168$ $35 and 168$ ..

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