Least Common Multiple of 138/887, 124/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/887, 124/500 quickly i.e. 8556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/887, 124/500 is 8556.

LCM(138/887, 124/500) = 8556

LCM of 138/887, 124/500

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 138/887,124/500

Given numbers are 138/887,124/500

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 138,124

Least Common Multiple of Numerators i.e. LCM of 138,124 is 8556.

GCF of Denominators means GCF of 887,500 as per the given fractions.

GCF of 887,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,124

LCM of Fractions 138/887,124/500 is 8556

2 138, 124
69, 62

∴ So the LCM of the given numbers is 2 x 69 x 62 = 8556

Least Common Multiple of 138,124 with GCF Formula

Least Common Multiple of 138,124 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 138,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,124) = 2

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

GCF(138,124) x common factors =2 x 1 = 2

LCM(138,124) = ( 138 × 124 ) / 2

LCM(138,124) = 17112 / 2

LCM(138,124) = 8556


Lets's calculate GCF of 887,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8556/1

Therefore the LCM of Fractions 138/887,124/500 is 8556

Greatest Common Factor of 887,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,500 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 887,500 . The biggest common factor number is the GCF number.
So the greatest common factor 887,500 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 138/887, 124/500

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 138/887, 124/500?

Answer: LCM of Numerators as per given numbers 138/887, 124/500 is

LCM of Numerators i.e. for 138,124 is 8556

GCF of denominators i.e. for 887,500 is 1.

Thus, LCM of Fractions is 8556.Finally, LCM of Fractions for 138/887, 124/500 is 8556.