Least Common Multiple of 459, 8415
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 459, 8415 i.e. 25245 smallest integer divisible by all numbers.
Least common multiple (LCM) of 459, 8415 is 25245.
LCM(459, 8415) = 25245
LCM of 459, 8415
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 459, 8415 by common division method
- Least Common Multiple of 459, 8415 with GCF Formula
Least Common Multiple (LCM) of 459,8415 is 25245
| 3 | 459, 8415 |
| 3 | 153, 2805 |
| 17 | 51, 935 |
| 3, 55 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 3 x 55 = 25245
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 459,8415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,8415) = 153
common factors(in case of two or more numbers have common factors) = 1
GCF(459,8415) x common factors =153 x 1 = 153
LCM(459,8415) = ( 459 × 8415 ) / 153
LCM(459,8415) = 3862485 / 153
LCM(459,8415) = 25245
∴ Least Common Multiple of 459,8415 is 25245
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Frequently Asked Questions on LCM of 459, 8415
1. What is the LCM of 459, 8415?
Answer: LCM of 459, 8415 is 25245.
2. What are the Factors of 25245?
Answer: Factors of 25245 are . There are integers that are factors of 25245
3. How to Find the LCM of 459, 8415 ?
Least Common Multiple of 459, 8415.
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(459, 8415) = 3 x 3 x 3 x 5 x 11 x 17 = 25245.