LCM for 6, 10 and 15
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 6, 10 and 15?
Answer
LCM of 6, 10 and 15 is
30
First common multiples: 30, 60, 90, …
30 is divisible by all three: 30 ÷ 6 = 5, 30 ÷ 10 = 3, 30 ÷ 15 = 2 — and 5, 3 and 2 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/6 by 5 and of y/10 by 3 and of z/15 by 2.
6 = 2 × 3
10 = 2 × 5
15 = 3 × 5
| Prime | 6 | 10 | 15 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 2 | — | 2 |
| 3 | 3 | — | 3 | 3 |
| 5 | — | 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 = 2 × 3 × 5 = 30
More with these numbers
Found an error in the calculation or the information?
Related Calculations
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/6--10--15">What is the LCM of 6, 10 and 15? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
