Least Common Multiple of 136/882, 279/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 136/882, 279/524 quickly i.e. 18972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/882, 279/524 is 18972.

LCM(136/882, 279/524) = 18972

LCM of 136/882, 279/524

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 136/882,279/524

Given numbers are 136/882,279/524

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 136,279

Least Common Multiple of Numerators i.e. LCM of 136,279 is 37944.

GCF of Denominators means GCF of 882,524 as per the given fractions.

GCF of 882,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,279

LCM of Fractions 136/882,279/524 is 18972

Given numbers has no common factors except 1. So, there LCM is their product i.e 37944

Least Common Multiple of 136,279 with GCF Formula

Least Common Multiple of 136,279 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 136,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,279) = 1

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

GCF(136,279) x common factors =1 x 1 = 1

LCM(136,279) = ( 136 × 279 ) / 1

LCM(136,279) = 37944 / 1

LCM(136,279) = 37944


Lets's calculate GCF of 882,524

2 882, 524
441, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37944/2

Therefore the LCM of Fractions 136/882,279/524 is 18972

Greatest Common Factor of 882,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,524 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 882,524 . The biggest common factor number is the GCF number.
So the greatest common factor 882,524 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 136/882, 279/524

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 136/882, 279/524?

Answer: LCM of Numerators as per given numbers 136/882, 279/524 is

LCM of Numerators i.e. for 136,279 is 37944

GCF of denominators i.e. for 882,524 is 2.

Thus, LCM of Fractions is 18972.Finally, LCM of Fractions for 136/882, 279/524 is 18972.