LCM for 3 and 75
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What's the Least Common Multiple (LCM) of 3 and 75?
Answer
LCM of 3 and 75 is
75
First common multiples: 75, 150, 225, …
As a common denominator: multiply the top and bottom of x/3 by 25.
3 divides 75 (75 ÷ 3 = 25), so the LCM is the larger number itself.
3 — prime
75 = 3 × 52
| Prime | 3 | 75 | Highest power |
|---|---|---|---|
| 3 | 3 | 3 | 3 |
| 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 = 3 × 52 = 75
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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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