LCM for 30 and 275
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 30 and 275?
Answer
LCM of 30 and 275 is
1,650
First common multiples: 1,650; 3,300; 4,950; …
1,650 is divisible by both: 1,650 ÷ 30 = 55; 1,650 ÷ 275 = 6 — and 55 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 55 and of y/275 by 6.
30 = 2 × 3 × 5
275 = 52 × 11
| Prime | 30 | 275 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | — | 3 |
| 5 | 5 | 52 | 52 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 52 × 11 = 1,650
More with these numbers
Found an error in the calculation or the information?
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
Share This Calculation
Print
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/30--275">What is the LCM of 30 and 275? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
