Least Common Multiple of 5088/542, 7738/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5088/542, 7738/865 quickly i.e. 371424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5088/542, 7738/865 is 371424.

LCM(5088/542, 7738/865) = 371424

LCM of 5088/542, 7738/865

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 5088/542,7738/865

Given numbers are 5088/542,7738/865

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 5088,7738

Least Common Multiple of Numerators i.e. LCM of 5088,7738 is 371424.

GCF of Denominators means GCF of 542,865 as per the given fractions.

GCF of 542,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5088,7738

LCM of Fractions 5088/542,7738/865 is 371424

2 5088, 7738
53 2544, 3869
48, 73

∴ So the LCM of the given numbers is 2 x 53 x 48 x 73 = 371424

Least Common Multiple of 5088,7738 with GCF Formula

Least Common Multiple of 5088,7738 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 5088,7738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5088,7738) = 106

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

GCF(5088,7738) x common factors =106 x 1 = 106

LCM(5088,7738) = ( 5088 × 7738 ) / 106

LCM(5088,7738) = 39370944 / 106

LCM(5088,7738) = 371424


Lets's calculate GCF of 542,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371424/1

Therefore the LCM of Fractions 5088/542,7738/865 is 371424

Greatest Common Factor of 542,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,865 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 542,865 . The biggest common factor number is the GCF number.
So the greatest common factor 542,865 is 1.


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 5088/542, 7738/865

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 5088/542, 7738/865?

Answer: LCM of Numerators as per given numbers 5088/542, 7738/865 is

LCM of Numerators i.e. for 5088,7738 is 371424

GCF of denominators i.e. for 542,865 is 1.

Thus, LCM of Fractions is 371424.Finally, LCM of Fractions for 5088/542, 7738/865 is 371424.