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, 459, 675 i.e. 11475 smallest integer divisible by all numbers.
Least common multiple (LCM) of 459, 459, 675 is 11475.
LCM(459, 459, 675) = 11475
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 459, 459, 675 |
3 | 153, 153, 225 |
3 | 51, 51, 75 |
17 | 17, 17, 25 |
1, 1, 25 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 1 x 1 x 25 = 11475
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 459,459,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,459,675) = 27
common factors(in case of two or more numbers have common factors) = 459
GCF(459,459,675) x common factors =27 x 459 = 12393
LCM(459,459,675) = ( 459 × 459 × 675 ) / 12393
LCM(459,459,675) = 142209675 / 12393
LCM(459,459,675) = 11475
∴ Least Common Multiple of 459,459,675 is 11475
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 459, 675?
Answer: LCM of 459, 459, 675 is 11475.
2. What are the Factors of 11475?
Answer: Factors of 11475 are . There are integers that are factors of 11475
3. How to Find the LCM of 459, 459, 675 ?
Least Common Multiple of 459, 459, 675.
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, 459, 675) = 3 x 3 x 3 x 5 x 5 x 17 = 11475.