Least Common Multiple of 824/131, 4113/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 824/131, 4113/389 quickly i.e. 3389112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/131, 4113/389 is 3389112.

LCM(824/131, 4113/389) = 3389112

LCM of 824/131, 4113/389

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 824/131,4113/389

Given numbers are 824/131,4113/389

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 824,4113

Least Common Multiple of Numerators i.e. LCM of 824,4113 is 3389112.

GCF of Denominators means GCF of 131,389 as per the given fractions.

GCF of 131,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,4113

LCM of Fractions 824/131,4113/389 is 3389112

Given numbers has no common factors except 1. So, there LCM is their product i.e 3389112

Least Common Multiple of 824,4113 with GCF Formula

Least Common Multiple of 824,4113 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 824,4113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,4113) = 1

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

GCF(824,4113) x common factors =1 x 1 = 1

LCM(824,4113) = ( 824 × 4113 ) / 1

LCM(824,4113) = 3389112 / 1

LCM(824,4113) = 3389112


Lets's calculate GCF of 131,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3389112/1

Therefore the LCM of Fractions 824/131,4113/389 is 3389112

Greatest Common Factor of 131,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,389 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 131,389 . The biggest common factor number is the GCF number.
So the greatest common factor 131,389 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 824/131, 4113/389

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 824/131, 4113/389?

Answer: LCM of Numerators as per given numbers 824/131, 4113/389 is

LCM of Numerators i.e. for 824,4113 is 3389112

GCF of denominators i.e. for 131,389 is 1.

Thus, LCM of Fractions is 3389112.Finally, LCM of Fractions for 824/131, 4113/389 is 3389112.