Least Common Multiple of 6048/602, 6131/5708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6048/602, 6131/5708 quickly i.e. 18540144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6048/602, 6131/5708 is 18540144.

LCM(6048/602, 6131/5708) = 18540144

LCM of 6048/602, 6131/5708

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 6048/602,6131/5708

Given numbers are 6048/602,6131/5708

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 6048,6131

Least Common Multiple of Numerators i.e. LCM of 6048,6131 is 37080288.

GCF of Denominators means GCF of 602,5708 as per the given fractions.

GCF of 602,5708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6048,6131

LCM of Fractions 6048/602,6131/5708 is 18540144

Given numbers has no common factors except 1. So, there LCM is their product i.e 37080288

Least Common Multiple of 6048,6131 with GCF Formula

Least Common Multiple of 6048,6131 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 6048,6131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6048,6131) = 1

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

GCF(6048,6131) x common factors =1 x 1 = 1

LCM(6048,6131) = ( 6048 × 6131 ) / 1

LCM(6048,6131) = 37080288 / 1

LCM(6048,6131) = 37080288


Lets's calculate GCF of 602,5708

2 602, 5708
301, 2854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37080288/2

Therefore the LCM of Fractions 6048/602,6131/5708 is 18540144

Greatest Common Factor of 602,5708 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,5708 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Greatest Common Factor

We found the factors 602,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 602,5708 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 6048/602, 6131/5708

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 6048/602, 6131/5708?

Answer: LCM of Numerators as per given numbers 6048/602, 6131/5708 is

LCM of Numerators i.e. for 6048,6131 is 37080288

GCF of denominators i.e. for 602,5708 is 2.

Thus, LCM of Fractions is 18540144.Finally, LCM of Fractions for 6048/602, 6131/5708 is 18540144.