Least Common Multiple of 6748/718, 5665/4202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6748/718, 5665/4202 quickly i.e. 19113710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6748/718, 5665/4202 is 19113710.

LCM(6748/718, 5665/4202) = 19113710

LCM of 6748/718, 5665/4202

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 6748/718,5665/4202

Given numbers are 6748/718,5665/4202

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 6748,5665

Least Common Multiple of Numerators i.e. LCM of 6748,5665 is 38227420.

GCF of Denominators means GCF of 718,4202 as per the given fractions.

GCF of 718,4202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6748,5665

LCM of Fractions 6748/718,5665/4202 is 19113710

Given numbers has no common factors except 1. So, there LCM is their product i.e 38227420

Least Common Multiple of 6748,5665 with GCF Formula

Least Common Multiple of 6748,5665 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 6748,5665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6748,5665) = 1

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

GCF(6748,5665) x common factors =1 x 1 = 1

LCM(6748,5665) = ( 6748 × 5665 ) / 1

LCM(6748,5665) = 38227420 / 1

LCM(6748,5665) = 38227420


Lets's calculate GCF of 718,4202

2 718, 4202
359, 2101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38227420/2

Therefore the LCM of Fractions 6748/718,5665/4202 is 19113710

Greatest Common Factor of 718,4202 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,4202 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Greatest Common Factor

We found the factors 718,4202 . The biggest common factor number is the GCF number.
So the greatest common factor 718,4202 is 2.


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 6748/718, 5665/4202

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 6748/718, 5665/4202?

Answer: LCM of Numerators as per given numbers 6748/718, 5665/4202 is

LCM of Numerators i.e. for 6748,5665 is 38227420

GCF of denominators i.e. for 718,4202 is 2.

Thus, LCM of Fractions is 19113710.Finally, LCM of Fractions for 6748/718, 5665/4202 is 19113710.