Least Common Multiple of 138/706, 5775/4961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/706, 5775/4961 quickly i.e. 265650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/706, 5775/4961 is 265650.

LCM(138/706, 5775/4961) = 265650

LCM of 138/706, 5775/4961

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 138/706,5775/4961

Given numbers are 138/706,5775/4961

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 138,5775

Least Common Multiple of Numerators i.e. LCM of 138,5775 is 265650.

GCF of Denominators means GCF of 706,4961 as per the given fractions.

GCF of 706,4961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,5775

LCM of Fractions 138/706,5775/4961 is 265650

3 138, 5775
46, 1925

∴ So the LCM of the given numbers is 3 x 46 x 1925 = 265650

Least Common Multiple of 138,5775 with GCF Formula

Least Common Multiple of 138,5775 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 138,5775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,5775) = 3

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

GCF(138,5775) x common factors =3 x 1 = 3

LCM(138,5775) = ( 138 × 5775 ) / 3

LCM(138,5775) = 796950 / 3

LCM(138,5775) = 265650


Lets's calculate GCF of 706,4961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265650/1

Therefore the LCM of Fractions 138/706,5775/4961 is 265650

Greatest Common Factor of 706,4961 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,4961 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1,11,41,121,451,4961

Greatest Common Factor

We found the factors 706,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 706,4961 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 138/706, 5775/4961

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 138/706, 5775/4961?

Answer: LCM of Numerators as per given numbers 138/706, 5775/4961 is

LCM of Numerators i.e. for 138,5775 is 265650

GCF of denominators i.e. for 706,4961 is 1.

Thus, LCM of Fractions is 265650.Finally, LCM of Fractions for 138/706, 5775/4961 is 265650.