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 538, 490, 820, 616 i.e. 237785240 smallest integer divisible by all numbers.
Least common multiple (LCM) of 538, 490, 820, 616 is 237785240.
LCM(538, 490, 820, 616) = 237785240
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 538, 490, 820, 616 |
2 | 269, 245, 410, 308 |
5 | 269, 245, 205, 154 |
7 | 269, 49, 41, 154 |
269, 7, 41, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 269 x 7 x 41 x 22 = 237785240
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 538,490,820,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,490,820,616) = 2
common factors(in case of two or more numbers have common factors) = 280
GCF(538,490,820,616) x common factors =2 x 280 = 560
LCM(538,490,820,616) = ( 538 × 490 × 820 × 616 ) / 560
LCM(538,490,820,616) = 133159734400 / 560
LCM(538,490,820,616) = 237785240
∴ Least Common Multiple of 538,490,820,616 is 237785240
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 490, 820, 616?
Answer: LCM of 538, 490, 820, 616 is 237785240.
2. What are the Factors of 237785240?
Answer: Factors of 237785240 are . There are integers that are factors of 237785240
3. How to Find the LCM of 538, 490, 820, 616 ?
Least Common Multiple of 538, 490, 820, 616.
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(538, 490, 820, 616) = 2 x 2 x 2 x 5 x 7 x 7 x 11 x 41 x 269 = 237785240.