Find LCM of 576 and 1440 when their HCF is 288.
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Steps to find LCM
Find the prime factorization of 576
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 1440
1440 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5
LCM = 2880
hope it helps...
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