LCM for 10, 15 and 35
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 10, 15 and 35?
Answer
LCM of 10, 15 and 35 is
210
First common multiples: 210, 420, 630, …
210 is divisible by all three: 210 ÷ 10 = 21, 210 ÷ 15 = 14, 210 ÷ 35 = 6 — and 21, 14 and 6 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/10 by 21 and of y/15 by 14 and of z/35 by 6.
10 = 2 × 5
15 = 3 × 5
35 = 5 × 7
| Prime | 10 | 15 | 35 | Highest power |
|---|---|---|---|---|
| 2 | 2 | — | — | 2 |
| 3 | — | 3 | — | 3 |
| 5 | 5 | 5 | 5 | 5 |
| 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 = 2 × 3 × 5 × 7 = 210
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/10--15--35">What is the LCM of 10, 15 and 35? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
