Least Common Multiple of 2595/121, 6818/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2595/121, 6818/759 quickly i.e. 17692710/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2595/121, 6818/759 is 17692710/11.

LCM(2595/121, 6818/759) = 17692710/11

LCM of 2595/121, 6818/759

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 2595/121,6818/759

Given numbers are 2595/121,6818/759

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 2595,6818

Least Common Multiple of Numerators i.e. LCM of 2595,6818 is 17692710.

GCF of Denominators means GCF of 121,759 as per the given fractions.

GCF of 121,759 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2595,6818

LCM of Fractions 2595/121,6818/759 is 17692710/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 17692710

Least Common Multiple of 2595,6818 with GCF Formula

Least Common Multiple of 2595,6818 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 2595,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2595,6818) = 1

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

GCF(2595,6818) x common factors =1 x 1 = 1

LCM(2595,6818) = ( 2595 × 6818 ) / 1

LCM(2595,6818) = 17692710 / 1

LCM(2595,6818) = 17692710


Lets's calculate GCF of 121,759

11 121, 759
11, 69

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17692710/11

Therefore the LCM of Fractions 2595/121,6818/759 is 17692710/11

Greatest Common Factor of 121,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,759 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 121,759 . The biggest common factor number is the GCF number.
So the greatest common factor 121,759 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2595/121, 6818/759

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 2595/121, 6818/759?

Answer: LCM of Numerators as per given numbers 2595/121, 6818/759 is

LCM of Numerators i.e. for 2595,6818 is 17692710

GCF of denominators i.e. for 121,759 is 11.

Thus, LCM of Fractions is 17692710/11.Finally, LCM of Fractions for 2595/121, 6818/759 is 17692710/11.