LCM for 3, 8 and 15
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 3, 8 and 15?
Answer
LCM of 3, 8 and 15 is
120
First common multiples: 120, 240, 360, …
120 is divisible by all three: 120 ÷ 3 = 40, 120 ÷ 8 = 15, 120 ÷ 15 = 8 — and 40, 15 and 8 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 40 and of y/8 by 15 and of z/15 by 8.
3 — prime
8 = 23
15 = 3 × 5
| Prime | 3 | 8 | 15 | Highest power |
|---|---|---|---|---|
| 2 | — | 23 | — | 23 |
| 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 = 23 × 3 × 5 = 120
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/3--8--15">What is the LCM of 3, 8 and 15? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
