Question

find the LCM of 54,28,52​

Answer 1

answer is upon...

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Answer 2

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Explanation:

Prime Factorisation of 54=

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

prime Factorisation of 28

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

prime Factorisation of 52

$= 2 \times 2 \times 13 = {2}^{2} \times 13$

Here ,common factor is 2 among all

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

$H.C.F = 2$

formula :

$\bold{\boxed{H.C.F \times L.C.M= product \: of \: numbers}}$

$= > 2 \times L.C.M = 54 \times 28 \times 52$

$= > 2 \times L.C.M = 78624$

$L.C.M= \frac{78624}{2} = 39312$

Therefore,L.C.M IS 39312