Least Common Multiple of 26, 54, 76, 585

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 26, 54, 76, 585 i.e. 133380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 26, 54, 76, 585 is 133380.

LCM(26, 54, 76, 585) = 133380

LCM of 26, 54, 76, 585

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

LCM of:

Least Common Multiple of 26,54,76,585

Least Common Multiple (LCM) of 26,54,76,585 is 133380

2 26, 54, 76, 585
3 13, 27, 38, 585
3 13, 9, 38, 195
13 13, 3, 38, 65
1, 3, 38, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 3 x 38 x 5 = 133380

Least Common Multiple of 26,54,76,585 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 26,54,76,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,54,76,585) = 1

common factors(in case of two or more numbers have common factors) = 468

GCF(26,54,76,585) x common factors =1 x 468 = 468

LCM(26,54,76,585) = ( 26 × 54 × 76 × 585 ) / 468

LCM(26,54,76,585) = 62421840 / 468

LCM(26,54,76,585) = 133380

∴ Least Common Multiple of 26,54,76,585 is 133380

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 26, 54, 76, 585

1. What is the LCM of 26, 54, 76, 585?

Answer: LCM of 26, 54, 76, 585 is 133380.

2. What are the Factors of 133380?

Answer: Factors of 133380 are . There are integers that are factors of 133380

3. How to Find the LCM of 26, 54, 76, 585 ?

Least Common Multiple of 26, 54, 76, 585.

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(26, 54, 76, 585) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 19 = 133380.