Least Common Multiple of 279/52, 655/9295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/52, 655/9295 quickly i.e. 182745/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/52, 655/9295 is 182745/13.

LCM(279/52, 655/9295) = 182745/13

LCM of 279/52, 655/9295

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 279/52,655/9295

Given numbers are 279/52,655/9295

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 279,655

Least Common Multiple of Numerators i.e. LCM of 279,655 is 182745.

GCF of Denominators means GCF of 52,9295 as per the given fractions.

GCF of 52,9295 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,655

LCM of Fractions 279/52,655/9295 is 182745/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 182745

Least Common Multiple of 279,655 with GCF Formula

Least Common Multiple of 279,655 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 279,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,655) = 1

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

GCF(279,655) x common factors =1 x 1 = 1

LCM(279,655) = ( 279 × 655 ) / 1

LCM(279,655) = 182745 / 1

LCM(279,655) = 182745


Lets's calculate GCF of 52,9295

13 52, 9295
4, 715

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182745/13

Therefore the LCM of Fractions 279/52,655/9295 is 182745/13

Greatest Common Factor of 52,9295 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,9295 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1,5,11,13,55,65,143,169,715,845,1859,9295

Greatest Common Factor

We found the factors 52,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9295 is 13.


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 279/52, 655/9295

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 279/52, 655/9295?

Answer: LCM of Numerators as per given numbers 279/52, 655/9295 is

LCM of Numerators i.e. for 279,655 is 182745

GCF of denominators i.e. for 52,9295 is 13.

Thus, LCM of Fractions is 182745/13.Finally, LCM of Fractions for 279/52, 655/9295 is 182745/13.