LCM for 8, 18 and 24
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 8, 18 and 24?
Answer
LCM of 8, 18 and 24 is
72
First common multiples: 72, 144, 216, …
72 is divisible by all three: 72 ÷ 8 = 9, 72 ÷ 18 = 4, 72 ÷ 24 = 3 — and 9, 4 and 3 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/8 by 9 and of y/18 by 4 and of z/24 by 3.
8 = 23
18 = 2 × 32
24 = 23 × 3
| Prime | 8 | 18 | 24 | Highest power |
|---|---|---|---|---|
| 2 | 23 | 2 | 23 | 23 |
| 3 | — | 32 | 3 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 32 = 72
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/8--18--24">What is the LCM of 8, 18 and 24? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
