Least Common Multiple of 538, 490, 820, 616

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

LCM of 538, 490, 820, 616

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 538,490,820,616

Least Common Multiple (LCM) of 538,490,820,616 is 237785240

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

Least Common Multiple of 538,490,820,616 with GCF Formula

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

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 538, 490, 820, 616

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.