find the HCF of the following by prime factorization method .18,24,42.
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to solve it by the use of prime number if u know the prime number then u easly solve it by that hint
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Answer :-
we know that,
HCF = product of the greatest power of each prime factor, involved in the numbers
here,
- 18 = 2 × 3 × 3 = 2 × 3²
- 24 = 2 × 2 × 2 × 3 = 2³ × 3
- 42 = 2 × 3 × 7
so, LCM = 3² × 2³ × 7
so, LCM of 18, 24 and 42 is 504
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