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 310, 602, 876, 405, 204 i.e. 18759229020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 310, 602, 876, 405, 204 is 18759229020.
LCM(310, 602, 876, 405, 204) = 18759229020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 310, 602, 876, 405, 204 |
2 | 155, 301, 438, 405, 102 |
3 | 155, 301, 219, 405, 51 |
5 | 155, 301, 73, 135, 17 |
31, 301, 73, 27, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 31 x 301 x 73 x 27 x 17 = 18759229020
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 310,602,876,405,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,602,876,405,204) = 1
common factors(in case of two or more numbers have common factors) = 720
GCF(310,602,876,405,204) x common factors =1 x 720 = 720
LCM(310,602,876,405,204) = ( 310 × 602 × 876 × 405 × 204 ) / 720
LCM(310,602,876,405,204) = 13506644894400 / 720
LCM(310,602,876,405,204) = 18759229020
∴ Least Common Multiple of 310,602,876,405,204 is 18759229020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 602, 876, 405, 204?
Answer: LCM of 310, 602, 876, 405, 204 is 18759229020.
2. What are the Factors of 18759229020?
Answer: Factors of 18759229020 are . There are integers that are factors of 18759229020
3. How to Find the LCM of 310, 602, 876, 405, 204 ?
Least Common Multiple of 310, 602, 876, 405, 204.
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(310, 602, 876, 405, 204) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 17 x 31 x 43 x 73 = 18759229020.