LCM for 5, 12 and 15
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 5, 12 and 15?
Answer
LCM of 5, 12 and 15 is
60
First common multiples: 60, 120, 180, …
60 is divisible by all three: 60 ÷ 5 = 12, 60 ÷ 12 = 5, 60 ÷ 15 = 4 — and 12, 5 and 4 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/5 by 12 and of y/12 by 5 and of z/15 by 4.
5 — prime
12 = 22 × 3
15 = 3 × 5
| Prime | 5 | 12 | 15 | Highest power |
|---|---|---|---|---|
| 2 | — | 22 | — | 22 |
| 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 = 22 × 3 × 5 = 60
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/5--12--15">What is the LCM of 5, 12 and 15? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
