find the LCM of 54 and 512
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Answer:
LCM=13824. ..............
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Answer:
- Find the prime factorization of 54
- 54 = 2 × 3 × 3 × 3
- Find the prime factorization of 512
- Find the prime factorization of 512512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
- 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 × 2 × 2 × 2 × 3 × 3 × 3
- LCM = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3LCM = 13824
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