Question
Find the LCM and HCF of the following integer by applying the prime factorisation method.
$24, 15$ and $36$

Answer

Let us first find the factors of $24, 15$ and $36.$
$24 = 2^3 \times 3$
$15 = 3 \times 5$
$36 = 2^2 \times 3^2$
L.C.M of $24, 15$ and $36 = 2^3 \times 3^2 \times 5$
L.C.M of $24, 15$ and $36 = 360$
H.C.F of $24, 15$ and $36 = 3$

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