LCM for 3, 10 and 18
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 3, 10 and 18?
Answer
LCM of 3, 10 and 18 is
90
First common multiples: 90, 180, 270, …
90 is divisible by all three: 90 ÷ 3 = 30, 90 ÷ 10 = 9, 90 ÷ 18 = 5 — and 30, 9 and 5 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 30 and of y/10 by 9 and of z/18 by 5.
3 — prime
10 = 2 × 5
18 = 2 × 32
| Prime | 3 | 10 | 18 | Highest power |
|---|---|---|---|---|
| 2 | — | 2 | 2 | 2 |
| 3 | 3 | — | 32 | 32 |
| 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 × 32 × 5 = 90
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--10--18">What is the LCM of 3, 10 and 18? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
