LCM for 105 and 150
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What's the Least Common Multiple (LCM) of 105 and 150?
Answer
LCM of 105 and 150 is
1,050
First common multiples: 1,050; 2,100; 3,150; …
1,050 is divisible by both: 1,050 ÷ 105 = 10; 1,050 ÷ 150 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 10 and of y/150 by 7.
105 = 3 × 5 × 7
150 = 2 × 3 × 52
| Prime | 105 | 150 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | 3 | 3 |
| 5 | 5 | 52 | 52 |
| 7 | 7 | — | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 52 × 7 = 1,050
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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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