Least Common Multiple of 5101/778, 7772/9238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5101/778, 7772/9238 quickly i.e. 19822486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5101/778, 7772/9238 is 19822486.

LCM(5101/778, 7772/9238) = 19822486

LCM of 5101/778, 7772/9238

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 5101/778,7772/9238

Given numbers are 5101/778,7772/9238

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 5101,7772

Least Common Multiple of Numerators i.e. LCM of 5101,7772 is 39644972.

GCF of Denominators means GCF of 778,9238 as per the given fractions.

GCF of 778,9238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5101,7772

LCM of Fractions 5101/778,7772/9238 is 19822486

Given numbers has no common factors except 1. So, there LCM is their product i.e 39644972

Least Common Multiple of 5101,7772 with GCF Formula

Least Common Multiple of 5101,7772 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 5101,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5101,7772) = 1

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

GCF(5101,7772) x common factors =1 x 1 = 1

LCM(5101,7772) = ( 5101 × 7772 ) / 1

LCM(5101,7772) = 39644972 / 1

LCM(5101,7772) = 39644972


Lets's calculate GCF of 778,9238

2 778, 9238
389, 4619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39644972/2

Therefore the LCM of Fractions 5101/778,7772/9238 is 19822486

Greatest Common Factor of 778,9238 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,9238 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Greatest Common Factor

We found the factors 778,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 778,9238 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 5101/778, 7772/9238

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 5101/778, 7772/9238?

Answer: LCM of Numerators as per given numbers 5101/778, 7772/9238 is

LCM of Numerators i.e. for 5101,7772 is 39644972

GCF of denominators i.e. for 778,9238 is 2.

Thus, LCM of Fractions is 19822486.Finally, LCM of Fractions for 5101/778, 7772/9238 is 19822486.