LCM for 7, 8 and 9
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 7, 8 and 9?
Answer
LCM of 7, 8 and 9 is
504
First common multiples: 504; 1,008; 1,512; …
504 is divisible by all three: 504 ÷ 7 = 72, 504 ÷ 8 = 63, 504 ÷ 9 = 56 — and 72, 63 and 56 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/7 by 72 and of y/8 by 63 and of z/9 by 56.
7 — prime
8 = 23
9 = 32
| Prime | 7 | 8 | 9 | Highest power |
|---|---|---|---|---|
| 2 | — | 23 | — | 23 |
| 3 | — | — | 32 | 32 |
| 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 = 23 × 32 × 7 = 504
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/7--8--9">What is the LCM of 7, 8 and 9? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
