Least Common Multiple of 255/36, 687/2600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/36, 687/2600 quickly i.e. 58395/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/36, 687/2600 is 58395/4.

LCM(255/36, 687/2600) = 58395/4

LCM of 255/36, 687/2600

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 255/36,687/2600

Given numbers are 255/36,687/2600

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 255,687

Least Common Multiple of Numerators i.e. LCM of 255,687 is 58395.

GCF of Denominators means GCF of 36,2600 as per the given fractions.

GCF of 36,2600 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,687

LCM of Fractions 255/36,687/2600 is 58395/4

3 255, 687
85, 229

∴ So the LCM of the given numbers is 3 x 85 x 229 = 58395

Least Common Multiple of 255,687 with GCF Formula

Least Common Multiple of 255,687 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 255,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,687) = 3

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

GCF(255,687) x common factors =3 x 1 = 3

LCM(255,687) = ( 255 × 687 ) / 3

LCM(255,687) = 175185 / 3

LCM(255,687) = 58395


Lets's calculate GCF of 36,2600

2 36, 2600
2 18, 1300
9, 650

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58395/4

Therefore the LCM of Fractions 255/36,687/2600 is 58395/4

Greatest Common Factor of 36,2600 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,2600 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Greatest Common Factor

We found the factors 36,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2600 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 255/36, 687/2600

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 255/36, 687/2600?

Answer: LCM of Numerators as per given numbers 255/36, 687/2600 is

LCM of Numerators i.e. for 255,687 is 58395

GCF of denominators i.e. for 36,2600 is 4.

Thus, LCM of Fractions is 58395/4.Finally, LCM of Fractions for 255/36, 687/2600 is 58395/4.