LCM for 105 and 189
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 105 and 189?
Answer
LCM of 105 and 189 is
945
First common multiples: 945; 1,890; 2,835; …
945 is divisible by both: 945 ÷ 105 = 9, 945 ÷ 189 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/105 by 9 and of y/189 by 5.
105 = 3 × 5 × 7
189 = 33 × 7
| Prime | 105 | 189 | Highest power |
|---|---|---|---|
| 3 | 3 | 33 | 33 |
| 5 | 5 | — | 5 |
| 7 | 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 = 33 × 5 × 7 = 945
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
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/105--189">What is the LCM of 105 and 189? - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
