Least Common Multiple of 268, 276, 828

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, 276, 828 i.e. 55476 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 276, 828 is 55476.

LCM(268, 276, 828) = 55476

LCM of 268, 276, 828

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

LCM of:

Least Common Multiple of 268,276,828

Least Common Multiple (LCM) of 268,276,828 is 55476

2 268, 276, 828
2 134, 138, 414
3 67, 69, 207
23 67, 23, 69
67, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 67 x 1 x 3 = 55476

Least Common Multiple of 268,276,828 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 268,276,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,276,828) = 4

common factors(in case of two or more numbers have common factors) = 276

GCF(268,276,828) x common factors =4 x 276 = 1104

LCM(268,276,828) = ( 268 × 276 × 828 ) / 1104

LCM(268,276,828) = 61245504 / 1104

LCM(268,276,828) = 55476

∴ Least Common Multiple of 268,276,828 is 55476

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, 276, 828

1. What is the LCM of 268, 276, 828?

Answer: LCM of 268, 276, 828 is 55476.

2. What are the Factors of 55476?

Answer: Factors of 55476 are . There are integers that are factors of 55476

3. How to Find the LCM of 268, 276, 828 ?

Least Common Multiple of 268, 276, 828.

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, 276, 828) = 2 x 2 x 3 x 3 x 23 x 67 = 55476.