Least Common Multiple of 8413/95, 6713/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8413/95, 6713/279 quickly i.e. 56476469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8413/95, 6713/279 is 56476469.

LCM(8413/95, 6713/279) = 56476469

LCM of 8413/95, 6713/279

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 8413/95,6713/279

Given numbers are 8413/95,6713/279

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 8413,6713

Least Common Multiple of Numerators i.e. LCM of 8413,6713 is 56476469.

GCF of Denominators means GCF of 95,279 as per the given fractions.

GCF of 95,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8413,6713

LCM of Fractions 8413/95,6713/279 is 56476469

Given numbers has no common factors except 1. So, there LCM is their product i.e 56476469

Least Common Multiple of 8413,6713 with GCF Formula

Least Common Multiple of 8413,6713 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 8413,6713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8413,6713) = 1

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

GCF(8413,6713) x common factors =1 x 1 = 1

LCM(8413,6713) = ( 8413 × 6713 ) / 1

LCM(8413,6713) = 56476469 / 1

LCM(8413,6713) = 56476469


Lets's calculate GCF of 95,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56476469/1

Therefore the LCM of Fractions 8413/95,6713/279 is 56476469

Greatest Common Factor of 95,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,279 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 95,279 . The biggest common factor number is the GCF number.
So the greatest common factor 95,279 is 1.


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 8413/95, 6713/279

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 8413/95, 6713/279?

Answer: LCM of Numerators as per given numbers 8413/95, 6713/279 is

LCM of Numerators i.e. for 8413,6713 is 56476469

GCF of denominators i.e. for 95,279 is 1.

Thus, LCM of Fractions is 56476469.Finally, LCM of Fractions for 8413/95, 6713/279 is 56476469.