Least Common Multiple of 713/979, 4171/9926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 713/979, 4171/9926 quickly i.e. 2973923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/979, 4171/9926 is 2973923.

LCM(713/979, 4171/9926) = 2973923

LCM of 713/979, 4171/9926

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 713/979,4171/9926

Given numbers are 713/979,4171/9926

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 713,4171

Least Common Multiple of Numerators i.e. LCM of 713,4171 is 2973923.

GCF of Denominators means GCF of 979,9926 as per the given fractions.

GCF of 979,9926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,4171

LCM of Fractions 713/979,4171/9926 is 2973923

Given numbers has no common factors except 1. So, there LCM is their product i.e 2973923

Least Common Multiple of 713,4171 with GCF Formula

Least Common Multiple of 713,4171 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 713,4171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,4171) = 1

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

GCF(713,4171) x common factors =1 x 1 = 1

LCM(713,4171) = ( 713 × 4171 ) / 1

LCM(713,4171) = 2973923 / 1

LCM(713,4171) = 2973923


Lets's calculate GCF of 979,9926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2973923/1

Therefore the LCM of Fractions 713/979,4171/9926 is 2973923

Greatest Common Factor of 979,9926 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,9926 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1,2,7,14,709,1418,4963,9926

Greatest Common Factor

We found the factors 979,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 979,9926 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 713/979, 4171/9926

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 713/979, 4171/9926?

Answer: LCM of Numerators as per given numbers 713/979, 4171/9926 is

LCM of Numerators i.e. for 713,4171 is 2973923

GCF of denominators i.e. for 979,9926 is 1.

Thus, LCM of Fractions is 2973923.Finally, LCM of Fractions for 713/979, 4171/9926 is 2973923.