Least Common Multiple of 523/52, 276/8118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/52, 276/8118 quickly i.e. 72174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/52, 276/8118 is 72174.

LCM(523/52, 276/8118) = 72174

LCM of 523/52, 276/8118

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 523/52,276/8118

Given numbers are 523/52,276/8118

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 523,276

Least Common Multiple of Numerators i.e. LCM of 523,276 is 144348.

GCF of Denominators means GCF of 52,8118 as per the given fractions.

GCF of 52,8118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,276

LCM of Fractions 523/52,276/8118 is 72174

Given numbers has no common factors except 1. So, there LCM is their product i.e 144348

Least Common Multiple of 523,276 with GCF Formula

Least Common Multiple of 523,276 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 523,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,276) = 1

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

GCF(523,276) x common factors =1 x 1 = 1

LCM(523,276) = ( 523 × 276 ) / 1

LCM(523,276) = 144348 / 1

LCM(523,276) = 144348


Lets's calculate GCF of 52,8118

2 52, 8118
26, 4059

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144348/2

Therefore the LCM of Fractions 523/52,276/8118 is 72174

Greatest Common Factor of 52,8118 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,8118 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 8118

List of positive integer factors of 8118 that divides 8118 without a remainder.

1,2,3,6,9,11,18,22,33,41,66,82,99,123,198,246,369,451,738,902,1353,2706,4059,8118

Greatest Common Factor

We found the factors 52,8118 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8118 is 2.


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 523/52, 276/8118

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 523/52, 276/8118?

Answer: LCM of Numerators as per given numbers 523/52, 276/8118 is

LCM of Numerators i.e. for 523,276 is 144348

GCF of denominators i.e. for 52,8118 is 2.

Thus, LCM of Fractions is 72174.Finally, LCM of Fractions for 523/52, 276/8118 is 72174.