LCM for 40 and 380
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What's the Least Common Multiple (LCM) of 40 and 380?
Answer
LCM of 40 and 380 is
760
First common multiples: 760; 1,520; 2,280; …
760 is divisible by both: 760 ÷ 40 = 19, 760 ÷ 380 = 2 — and 19 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 19 and of y/380 by 2.
40 = 23 × 5
380 = 22 × 5 × 19
| Prime | 40 | 380 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 5 | 5 | 5 | 5 |
| 19 | — | 19 | 19 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 5 × 19 = 760
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- 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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