Question

find LCM of 242,142,162​

Answer 1

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Explanation:

Prime Factorisation of 242

$= 2 \times 11 \times 11 = 2 \times {11}^{2}$

Prime Factorisation of 142

$= 2 \times 71$

Prime Factorisation of 162

$= 2 \times 3 \times 3 \times 3 \times 3 = 2 \times {3}^{4}$

Here ,2 is common among all factors

H.C.F=Product of smallest power of each common factor of prime Factorisation.

H.C.F=2

Formula :

$\bold{\boxed{H.C.F \times L.C</p><p>M= product \: of \: two \: numbers}}$

$2 \times L.C.M = 248 \times 142 \times 162$

$= > 2 \times L.C.M = 5566968$

$= > L.C.M= \frac{5566968}{2} = 2783484$

THEREFORE,L.C.M =2783484