Least Common Multiple of 536, 136, 204, 360

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 536, 136, 204, 360 i.e. 410040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 536, 136, 204, 360 is 410040.

LCM(536, 136, 204, 360) = 410040

LCM of 536, 136, 204, 360

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

LCM of:

Least Common Multiple of 536,136,204,360

Least Common Multiple (LCM) of 536,136,204,360 is 410040

2 536, 136, 204, 360
2 268, 68, 102, 180
2 134, 34, 51, 90
3 67, 17, 51, 45
17 67, 17, 17, 15
67, 1, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 67 x 1 x 1 x 15 = 410040

Least Common Multiple of 536,136,204,360 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 536,136,204,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,136,204,360) = 4

common factors(in case of two or more numbers have common factors) = 3264

GCF(536,136,204,360) x common factors =4 x 3264 = 13056

LCM(536,136,204,360) = ( 536 × 136 × 204 × 360 ) / 13056

LCM(536,136,204,360) = 5353482240 / 13056

LCM(536,136,204,360) = 410040

∴ Least Common Multiple of 536,136,204,360 is 410040

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 536, 136, 204, 360

1. What is the LCM of 536, 136, 204, 360?

Answer: LCM of 536, 136, 204, 360 is 410040.

2. What are the Factors of 410040?

Answer: Factors of 410040 are . There are integers that are factors of 410040

3. How to Find the LCM of 536, 136, 204, 360 ?

Least Common Multiple of 536, 136, 204, 360.

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(536, 136, 204, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 67 = 410040.