Find the L.C.M. of $5, 6$ and $14$ .

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Solution

We have,
$5 = 5^{1}$

$6 = 2^{1} \times 3^{1}$

$14 = 2^{1} \times 7^{1}$

$L C M (5, 6, 14)$ =Product of greatest powers of each prime factor involved in the numbers.

$= 2^{1} \times 3^{1} \times 5^{1} \times 7^{1}$

$= 210$

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