LCM for 8, 20 and 24
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 8, 20 and 24?
Answer
LCM of 8, 20 and 24 is
120
First common multiples: 120, 240, 360, …
120 is divisible by all three: 120 ÷ 8 = 15, 120 ÷ 20 = 6, 120 ÷ 24 = 5 — and 15, 6 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/8 by 15 and of y/20 by 6 and of z/24 by 5.
8 = 23
20 = 22 × 5
24 = 23 × 3
| Prime | 8 | 20 | 24 | Highest power |
|---|---|---|---|---|
| 2 | 23 | 22 | 23 | 23 |
| 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/8--20--24">What is the LCM of 8, 20 and 24? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
