Least Common Multiple of 268, 3540

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 268, 3540 i.e. 237180 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 3540 is 237180.

LCM(268, 3540) = 237180

LCM of 268, 3540

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

LCM of:

Least Common Multiple of 268,3540

Least Common Multiple (LCM) of 268,3540 is 237180

2 268, 3540
2 134, 1770
67, 885

∴ So the LCM of the given numbers is 2 x 2 x 67 x 885 = 237180

Least Common Multiple of 268,3540 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 268,3540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,3540) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(268,3540) x common factors =4 x 1 = 4

LCM(268,3540) = ( 268 × 3540 ) / 4

LCM(268,3540) = 948720 / 4

LCM(268,3540) = 237180

∴ Least Common Multiple of 268,3540 is 237180

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 268, 3540

1. What is the LCM of 268, 3540?

Answer: LCM of 268, 3540 is 237180.

2. What are the Factors of 237180?

Answer: Factors of 237180 are . There are integers that are factors of 237180

3. How to Find the LCM of 268, 3540 ?

Least Common Multiple of 268, 3540.

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(268, 3540) = 2 x 2 x 3 x 5 x 59 x 67 = 237180.