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 124, 171, 816, 957 i.e. 459957168 smallest integer divisible by all numbers.
Least common multiple (LCM) of 124, 171, 816, 957 is 459957168.
LCM(124, 171, 816, 957) = 459957168
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 124, 171, 816, 957 |
2 | 62, 171, 408, 957 |
3 | 31, 171, 204, 957 |
31, 57, 68, 319 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 57 x 68 x 319 = 459957168
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 124,171,816,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,171,816,957) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(124,171,816,957) x common factors =1 x 36 = 36
LCM(124,171,816,957) = ( 124 × 171 × 816 × 957 ) / 36
LCM(124,171,816,957) = 16558458048 / 36
LCM(124,171,816,957) = 459957168
∴ Least Common Multiple of 124,171,816,957 is 459957168
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 124, 171, 816, 957?
Answer: LCM of 124, 171, 816, 957 is 459957168.
2. What are the Factors of 459957168?
Answer: Factors of 459957168 are . There are integers that are factors of 459957168
3. How to Find the LCM of 124, 171, 816, 957 ?
Least Common Multiple of 124, 171, 816, 957.
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(124, 171, 816, 957) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 29 x 31 = 459957168.