LCM for 15, 25 and 35
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 15, 25 and 35?
Answer
LCM of 15, 25 and 35 is
525
First common multiples: 525; 1,050; 1,575; …
525 is divisible by all three: 525 ÷ 15 = 35, 525 ÷ 25 = 21, 525 ÷ 35 = 15 — and 35, 21 and 15 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 35 and of y/25 by 21 and of z/35 by 15.
15 = 3 × 5
25 = 52
35 = 5 × 7
| Prime | 15 | 25 | 35 | Highest power |
|---|---|---|---|---|
| 3 | 3 | — | — | 3 |
| 5 | 5 | 52 | 5 | 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 = 3 × 52 × 7 = 525
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See Also
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
| 1st | 2nd | 3rd | LCM |
|---|---|---|---|
| 15 | 20 | 25 | 300 |
| 15 | 21 | 25 | 525 |
| 15 | 22 | 25 | 1,650 |
| 15 | 23 | 25 | 1,725 |
| 15 | 24 | 25 | 600 |
| 15 | 25 | 25 | 75 |
| 15 | 25 | 26 | 1,950 |
| 15 | 25 | 27 | 675 |
| 15 | 25 | 28 | 2,100 |
| 15 | 25 | 29 | 2,175 |
| 15 | 25 | 30 | 150 |
| 15 | 25 | 31 | 2,325 |
| 15 | 25 | 32 | 2,400 |
| 15 | 25 | 33 | 825 |
| 15 | 25 | 34 | 2,550 |
| 15 | 25 | 35 | 525 |
| 15 | 25 | 36 | 900 |
| 15 | 25 | 37 | 2,775 |
| 15 | 25 | 38 | 2,850 |
| 15 | 25 | 39 | 975 |
| 15 | 25 | 40 | 600 |
| 15 | 25 | 41 | 3,075 |
| 15 | 25 | 42 | 1,050 |
| 15 | 25 | 43 | 3,225 |
| 15 | 25 | 44 | 3,300 |
| 15 | 25 | 45 | 225 |
| 15 | 25 | 46 | 3,450 |
| 15 | 25 | 47 | 3,525 |
| 15 | 25 | 48 | 1,200 |
| 15 | 25 | 49 | 3,675 |