Least Common Multiple of 585, 1935
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 585, 1935 i.e. 25155 smallest integer divisible by all numbers.
Least common multiple (LCM) of 585, 1935 is 25155.
LCM(585, 1935) = 25155
LCM of 585, 1935
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 585, 1935 by common division method
- Least Common Multiple of 585, 1935 with GCF Formula
Least Common Multiple (LCM) of 585,1935 is 25155
| 3 | 585, 1935 |
| 3 | 195, 645 |
| 5 | 65, 215 |
| 13, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 43 = 25155
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 585,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,1935) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(585,1935) x common factors =45 x 1 = 45
LCM(585,1935) = ( 585 × 1935 ) / 45
LCM(585,1935) = 1131975 / 45
LCM(585,1935) = 25155
∴ Least Common Multiple of 585,1935 is 25155
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Frequently Asked Questions on LCM of 585, 1935
1. What is the LCM of 585, 1935?
Answer: LCM of 585, 1935 is 25155.
2. What are the Factors of 25155?
Answer: Factors of 25155 are . There are integers that are factors of 25155
3. How to Find the LCM of 585, 1935 ?
Least Common Multiple of 585, 1935.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(585, 1935) = 3 x 3 x 5 x 13 x 43 = 25155.