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 600, 459, 150 i.e. 91800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 600, 459, 150 is 91800.
LCM(600, 459, 150) = 91800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 600, 459, 150 |
3 | 300, 459, 75 |
5 | 100, 153, 25 |
5 | 20, 153, 5 |
4, 153, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 4 x 153 x 1 = 91800
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 600,459,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,459,150) = 3
common factors(in case of two or more numbers have common factors) = 150
GCF(600,459,150) x common factors =3 x 150 = 450
LCM(600,459,150) = ( 600 × 459 × 150 ) / 450
LCM(600,459,150) = 41310000 / 450
LCM(600,459,150) = 91800
∴ Least Common Multiple of 600,459,150 is 91800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 459, 150?
Answer: LCM of 600, 459, 150 is 91800.
2. What are the Factors of 91800?
Answer: Factors of 91800 are . There are integers that are factors of 91800
3. How to Find the LCM of 600, 459, 150 ?
Least Common Multiple of 600, 459, 150.
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(600, 459, 150) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 17 = 91800.