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Using Prime Factorization, Find the Hcf and Lcm Of 24, 36, 40 . - Mathematics

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Using prime factorization, find the HCF and LCM of  24, 36, 40 .

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Solution

24 = 2 × 2 × 2 × 3 = 23 × 3
36 = 2 × 2 × 3 × 3 = 22 × 32
40 = 2 × 2 × 2 × 5 = 23 × 5
HCF = product of smallest power of each common prime factor in the numbers
= 22 = 4
LCM = product of greatest power of each prime factor involved in the numbers
= 23 × 32 × 5 = 360

Concept: Euclid’s Division Lemma
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