LCM for 12, 18 and 25
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 12, 18 and 25?
Answer
LCM of 12, 18 and 25 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by all three: 900 ÷ 12 = 75, 900 ÷ 18 = 50, 900 ÷ 25 = 36 — and 75, 50 and 36 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/12 by 75 and of y/18 by 50 and of z/25 by 36.
12 = 22 × 3
18 = 2 × 32
25 = 52
| Prime | 12 | 18 | 25 | Highest power |
|---|---|---|---|---|
| 2 | 22 | 2 | — | 22 |
| 3 | 3 | 32 | — | 32 |
| 5 | — | — | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 52 = 900
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/12--18--25">What is the LCM of 12, 18 and 25? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
