LCM for 90 and 490
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 90 and 490?
Answer
LCM of 90 and 490 is
4,410
First common multiples: 4,410; 8,820; 13,230; …
4,410 is divisible by both: 4,410 ÷ 90 = 49; 4,410 ÷ 490 = 9 — and 49 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 49 and of y/490 by 9.
90 = 2 × 32 × 5
490 = 2 × 5 × 72
| Prime | 90 | 490 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 32 | — | 32 |
| 5 | 5 | 5 | 5 |
| 7 | — | 72 | 72 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 32 × 5 × 72 = 4,410
More with these numbers
Found an error in the calculation or the information?
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
Facebook
Twitter
Telegram
WhatsApp
Viber
Email
