What is the LCM of 480 and 512
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Answer:
The LCM of 480 and 512 is 7680
Step-by-step explanation:
1) Find the prime factorization of 480
480 = 2 × 2 × 2 × 2 × 2 × 3 × 5
2) Find the prime factorization of 512
512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
3) Multiply each factor the greater number of times it occurs in steps 1) or 2) above to find the LCM:
LCM = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5
LCM = 7680
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