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 165, 180, 218, 637, 490 i.e. 137477340 smallest integer divisible by all numbers.
Least common multiple (LCM) of 165, 180, 218, 637, 490 is 137477340.
LCM(165, 180, 218, 637, 490) = 137477340
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 165, 180, 218, 637, 490 |
3 | 165, 90, 109, 637, 245 |
5 | 55, 30, 109, 637, 245 |
7 | 11, 6, 109, 637, 49 |
7 | 11, 6, 109, 91, 7 |
11, 6, 109, 13, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 7 x 11 x 6 x 109 x 13 x 1 = 137477340
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 165,180,218,637,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,180,218,637,490) = 1
common factors(in case of two or more numbers have common factors) = 14700
GCF(165,180,218,637,490) x common factors =1 x 14700 = 14700
LCM(165,180,218,637,490) = ( 165 × 180 × 218 × 637 × 490 ) / 14700
LCM(165,180,218,637,490) = 2020916898000 / 14700
LCM(165,180,218,637,490) = 137477340
∴ Least Common Multiple of 165,180,218,637,490 is 137477340
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 180, 218, 637, 490?
Answer: LCM of 165, 180, 218, 637, 490 is 137477340.
2. What are the Factors of 137477340?
Answer: Factors of 137477340 are . There are integers that are factors of 137477340
3. How to Find the LCM of 165, 180, 218, 637, 490 ?
Least Common Multiple of 165, 180, 218, 637, 490.
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(165, 180, 218, 637, 490) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 109 = 137477340.