LCM for 40 and 300
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What's the Least Common Multiple (LCM) of 40 and 300?
Answer
LCM of 40 and 300 is
600
First common multiples: 600; 1,200; 1,800; …
600 is divisible by both: 600 ÷ 40 = 15, 600 ÷ 300 = 2 — and 15 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 15 and of y/300 by 2.
40 = 23 × 5
300 = 22 × 3 × 52
| Prime | 40 | 300 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | — | 3 | 3 |
| 5 | 5 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 52 = 600
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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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