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 468, 468, 724 i.e. 84708 smallest integer divisible by all numbers.
Least common multiple (LCM) of 468, 468, 724 is 84708.
LCM(468, 468, 724) = 84708
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 468, 468, 724 |
2 | 234, 234, 362 |
3 | 117, 117, 181 |
3 | 39, 39, 181 |
13 | 13, 13, 181 |
1, 1, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 1 x 181 = 84708
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 468,468,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,468,724) = 4
common factors(in case of two or more numbers have common factors) = 468
GCF(468,468,724) x common factors =4 x 468 = 1872
LCM(468,468,724) = ( 468 × 468 × 724 ) / 1872
LCM(468,468,724) = 158573376 / 1872
LCM(468,468,724) = 84708
∴ Least Common Multiple of 468,468,724 is 84708
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 468, 724?
Answer: LCM of 468, 468, 724 is 84708.
2. What are the Factors of 84708?
Answer: Factors of 84708 are . There are integers that are factors of 84708
3. How to Find the LCM of 468, 468, 724 ?
Least Common Multiple of 468, 468, 724.
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(468, 468, 724) = 2 x 2 x 3 x 3 x 13 x 181 = 84708.