LCM for 60 and 190
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What's the Least Common Multiple (LCM) of 60 and 190?
Answer
LCM of 60 and 190 is
1,140
First common multiples: 1,140; 2,280; 3,420; …
1,140 is divisible by both: 1,140 ÷ 60 = 19; 1,140 ÷ 190 = 6 — and 19 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 19 and of y/190 by 6.
60 = 22 × 3 × 5
190 = 2 × 5 × 19
| Prime | 60 | 190 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 3 | — | 3 |
| 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 = 22 × 3 × 5 × 19 = 1,140
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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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