Least Common Multiple of 656/52, 135/2569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 656/52, 135/2569 quickly i.e. 88560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/52, 135/2569 is 88560.

LCM(656/52, 135/2569) = 88560

LCM of 656/52, 135/2569

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 656/52,135/2569

Given numbers are 656/52,135/2569

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 656,135

Least Common Multiple of Numerators i.e. LCM of 656,135 is 88560.

GCF of Denominators means GCF of 52,2569 as per the given fractions.

GCF of 52,2569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,135

LCM of Fractions 656/52,135/2569 is 88560

Given numbers has no common factors except 1. So, there LCM is their product i.e 88560

Least Common Multiple of 656,135 with GCF Formula

Least Common Multiple of 656,135 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 656,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,135) = 1

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

GCF(656,135) x common factors =1 x 1 = 1

LCM(656,135) = ( 656 × 135 ) / 1

LCM(656,135) = 88560 / 1

LCM(656,135) = 88560


Lets's calculate GCF of 52,2569

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88560/1

Therefore the LCM of Fractions 656/52,135/2569 is 88560

Greatest Common Factor of 52,2569 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,2569 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 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1,7,367,2569

Greatest Common Factor

We found the factors 52,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 52,2569 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 656/52, 135/2569

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 656/52, 135/2569?

Answer: LCM of Numerators as per given numbers 656/52, 135/2569 is

LCM of Numerators i.e. for 656,135 is 88560

GCF of denominators i.e. for 52,2569 is 1.

Thus, LCM of Fractions is 88560.Finally, LCM of Fractions for 656/52, 135/2569 is 88560.