Question
Find the LCM set of numbers using prime factorisation method.
$15, 25, 75$

Answer

$ 15,25,75$
$15=5 \times 3$
$25=5 \times 5$
$75=5 \times 5 \times 3 $
Product of the highest powers of the common factors $=3 \times 5^2$
$ =3 \times 25=75$
$\operatorname{LCM}(15,25,75)=75 $

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