Question

Find the LCM,HCF of 48,60,72 by prime factorization method

Answer 1

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${\huge{\purple{\mathbb{\bold{ANSWER}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

▪︎ 48.

▪︎ 60.

▪︎ 72.

${\large{\blue{\bold{\underline{To\:Find:-}}}}}$

▪︎ HCF and LCM of given numbers by factorization method.

${\large{\blue{\bold{\underline{Now,}}}}}$

=》 48 = 2×2×2×2×3.

=》 60 = 2×2×3×5.

=》 72 = 2×2×2×3×3.

${\large{\red{\bold{\underline{HCF}}}}}$

= 2 × 2 × 3.

${\large{\green{\boxed{\bold{=\:12.}}}}}$

${\large{\red{\bold{\underline{LCM}}}}}$

= 2×2×2×2×2×3×3×5

= 32×45

${\large{\green{\boxed{\bold{=\:1440.}}}}}$

Therefore LCM = 1440 and HCF = 12.

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