LCM for 3, 3 and 5
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 3, 3 and 5?
Answer
LCM of 3, 3 and 5 is
15
First common multiples: 15, 30, 45, …
15 is divisible by all three: 15 ÷ 3 = 5, 15 ÷ 3 = 5, 15 ÷ 5 = 3 — and 5, 5 and 3 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/3 by 5 and of y/3 by 5 and of z/5 by 3.
3 — prime
3 — prime
5 — prime
| Prime | 3 | 3 | 5 | Highest power |
|---|---|---|---|---|
| 3 | 3 | 3 | — | 3 |
| 5 | — | — | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 5 = 15
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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
LCM Table
| 1st | 2nd | 3rd | LCM |
|---|---|---|---|
| 1 | 3 | 3 | 3 |
| 2 | 3 | 3 | 6 |
| 3 | 3 | 3 | 3 |
| 3 | 3 | 4 | 12 |
| 3 | 3 | 5 | 15 |
| 3 | 3 | 6 | 6 |
| 3 | 3 | 7 | 21 |
| 3 | 3 | 8 | 24 |
| 3 | 3 | 9 | 9 |
| 3 | 3 | 10 | 30 |
| 3 | 3 | 11 | 33 |
| 3 | 3 | 12 | 12 |
| 3 | 3 | 13 | 39 |
| 3 | 3 | 14 | 42 |
| 3 | 3 | 15 | 15 |
| 3 | 3 | 16 | 48 |
| 3 | 3 | 17 | 51 |
| 3 | 3 | 18 | 18 |
| 3 | 3 | 19 | 57 |
| 3 | 3 | 20 | 60 |
| 3 | 3 | 21 | 21 |
| 3 | 3 | 22 | 66 |
| 3 | 3 | 23 | 69 |
| 3 | 3 | 24 | 24 |
| 3 | 3 | 25 | 75 |
| 3 | 3 | 26 | 78 |
| 3 | 3 | 27 | 27 |
| 3 | 3 | 28 | 84 |
| 3 | 3 | 29 | 87 |
| 3 | 3 | 30 | 30 |
FAQ
What's the Least Common Multiple (LCM) of 3, 3 and 5?
LCM of 3, 3 and 5 is 15
How to find the LCM of 3, 3 and 5 by prime factorization?
Take every prime that appears in 3, 3 and 5 to the highest power it reaches in any one of them and multiply: 3 × 5 = 15.
Can you get the LCM of 3, 3 and 5 two numbers at a time?
Yes. The LCM of 3 and 3 is 3, and the LCM of 3 and 5 is 15 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.
Is 15 divisible by 3, 3 and 5?
Yes, and by definition it is the smallest positive integer that is: 15 ÷ 3, 15 ÷ 3 and 15 ÷ 5 all come out whole. Any other common multiple of 3, 3 and 5 is a multiple of 15.
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