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 458, 319, 916 i.e. 292204 smallest integer divisible by all numbers.
Least common multiple (LCM) of 458, 319, 916 is 292204.
LCM(458, 319, 916) = 292204
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 458, 319, 916 |
229 | 229, 319, 458 |
1, 319, 2 |
∴ So the LCM of the given numbers is 2 x 229 x 1 x 319 x 2 = 292204
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 458,319,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,319,916) = 1
common factors(in case of two or more numbers have common factors) = 458
GCF(458,319,916) x common factors =1 x 458 = 458
LCM(458,319,916) = ( 458 × 319 × 916 ) / 458
LCM(458,319,916) = 133829432 / 458
LCM(458,319,916) = 292204
∴ Least Common Multiple of 458,319,916 is 292204
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 458, 319, 916?
Answer: LCM of 458, 319, 916 is 292204.
2. What are the Factors of 292204?
Answer: Factors of 292204 are . There are integers that are factors of 292204
3. How to Find the LCM of 458, 319, 916 ?
Least Common Multiple of 458, 319, 916.
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(458, 319, 916) = 2 x 2 x 11 x 29 x 229 = 292204.