LCM for 105 and 147
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What's the Least Common Multiple (LCM) of 105 and 147?
Answer
LCM of 105 and 147 is
735
First common multiples: 735; 1,470; 2,205; …
735 is divisible by both: 735 ÷ 105 = 7, 735 ÷ 147 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 7 and of y/147 by 5.
105 = 3 × 5 × 7
147 = 3 × 72
| Prime | 105 | 147 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 5 | 5 | — | 5 |
| 7 | 7 | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 × 72 = 735
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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