LCM for 6, 8 and 16
"Least Common Multiple of 3 Numbers" Calculator
What's the Least Common Multiple (LCM) of 6, 8 and 16?
Answer
LCM of 6, 8 and 16 is
48
First common multiples: 48, 96, 144, …
48 is divisible by all three: 48 ÷ 6 = 8, 48 ÷ 8 = 6, 48 ÷ 16 = 3 — and 8, 6 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/6 by 8 and of y/8 by 6 and of z/16 by 3.
6 = 2 × 3
8 = 23
16 = 24
| Prime | 6 | 8 | 16 | Highest power |
|---|---|---|---|---|
| 2 | 2 | 23 | 24 | 24 |
| 3 | 3 | — | — | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 = 48
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/6--8--16">What is the LCM of 6, 8 and 16? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
