Least Common Multiple of 5711/342, 9983/7149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5711/342, 9983/7149 quickly i.e. 57012913/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5711/342, 9983/7149 is 57012913/3.

LCM(5711/342, 9983/7149) = 57012913/3

LCM of 5711/342, 9983/7149

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 5711/342,9983/7149

Given numbers are 5711/342,9983/7149

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 5711,9983

Least Common Multiple of Numerators i.e. LCM of 5711,9983 is 57012913.

GCF of Denominators means GCF of 342,7149 as per the given fractions.

GCF of 342,7149 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5711,9983

LCM of Fractions 5711/342,9983/7149 is 57012913/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 57012913

Least Common Multiple of 5711,9983 with GCF Formula

Least Common Multiple of 5711,9983 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 5711,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5711,9983) = 1

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

GCF(5711,9983) x common factors =1 x 1 = 1

LCM(5711,9983) = ( 5711 × 9983 ) / 1

LCM(5711,9983) = 57012913 / 1

LCM(5711,9983) = 57012913


Lets's calculate GCF of 342,7149

3 342, 7149
114, 2383

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57012913/3

Therefore the LCM of Fractions 5711/342,9983/7149 is 57012913/3

Greatest Common Factor of 342,7149 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,7149 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Greatest Common Factor

We found the factors 342,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 342,7149 is 3.


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 5711/342, 9983/7149

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 5711/342, 9983/7149?

Answer: LCM of Numerators as per given numbers 5711/342, 9983/7149 is

LCM of Numerators i.e. for 5711,9983 is 57012913

GCF of denominators i.e. for 342,7149 is 3.

Thus, LCM of Fractions is 57012913/3.Finally, LCM of Fractions for 5711/342, 9983/7149 is 57012913/3.