Find the LCM of the following numbers using short division method:
1. 49 and 147
2. 35 and 75
3. 108 and 144
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Answer:
What is the LCM of 49 and 147?
Find the prime factorization of 49. 49 = 7 × 7.
Find the prime factorization of 147. 147 = 3 × 7 × 7.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 7 × 7.
LCM = 147.
The LCM of 35 and 75 is 525.
LCM of 108 and 144 is 432
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