Find the HCF and LCM of 45, 75
with steps
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Steps to find LCM:-
Find the prime factorization of 45. 45 = 3 × 3 × 5.
Find the prime factorization of 75. 75 = 3 × 5 × 5.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5 × 5.
LCM = 225.
Steps to find HCF:-
gcf, hcf, gcd (45; 75) = 15 = 3 × 5: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
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Explanation:
Steps to find LCM
Find the prime factorization of 45. 45 = 3 × 3 × 5.
Find the prime factorization of 75. 75 = 3 × 5 × 5.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5 × 5.
LCM = 225
45; 75) = 15 = 3 × 5: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors
Similar questions
45 = 3 × 3 × 5
Find the prime factorization of 75
75 = 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 3 × 3 × 5 × 5
LCM = 225