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 338, 507, 85 i.e. 86190 smallest integer divisible by all numbers.
Least common multiple (LCM) of 338, 507, 85 is 86190.
LCM(338, 507, 85) = 86190
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 338, 507, 85 |
13 | 26, 39, 85 |
2, 3, 85 |
∴ So the LCM of the given numbers is 13 x 13 x 2 x 3 x 85 = 86190
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 338,507,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,507,85) = 1
common factors(in case of two or more numbers have common factors) = 169
GCF(338,507,85) x common factors =1 x 169 = 169
LCM(338,507,85) = ( 338 × 507 × 85 ) / 169
LCM(338,507,85) = 14566110 / 169
LCM(338,507,85) = 86190
∴ Least Common Multiple of 338,507,85 is 86190
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 507, 85?
Answer: LCM of 338, 507, 85 is 86190.
2. What are the Factors of 86190?
Answer: Factors of 86190 are . There are integers that are factors of 86190
3. How to Find the LCM of 338, 507, 85 ?
Least Common Multiple of 338, 507, 85.
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(338, 507, 85) = 2 x 3 x 5 x 13 x 13 x 17 = 86190.