Least Common Multiple of 7764/121, 7838/2940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7764/121, 7838/2940 quickly i.e. 30427116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7764/121, 7838/2940 is 30427116.

LCM(7764/121, 7838/2940) = 30427116

LCM of 7764/121, 7838/2940

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 7764/121,7838/2940

Given numbers are 7764/121,7838/2940

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 7764,7838

Least Common Multiple of Numerators i.e. LCM of 7764,7838 is 30427116.

GCF of Denominators means GCF of 121,2940 as per the given fractions.

GCF of 121,2940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7764,7838

LCM of Fractions 7764/121,7838/2940 is 30427116

2 7764, 7838
3882, 3919

∴ So the LCM of the given numbers is 2 x 3882 x 3919 = 30427116

Least Common Multiple of 7764,7838 with GCF Formula

Least Common Multiple of 7764,7838 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 7764,7838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7764,7838) = 2

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

GCF(7764,7838) x common factors =2 x 1 = 2

LCM(7764,7838) = ( 7764 × 7838 ) / 2

LCM(7764,7838) = 60854232 / 2

LCM(7764,7838) = 30427116


Lets's calculate GCF of 121,2940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30427116/1

Therefore the LCM of Fractions 7764/121,7838/2940 is 30427116

Greatest Common Factor of 121,2940 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,2940 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Greatest Common Factor

We found the factors 121,2940 . The biggest common factor number is the GCF number.
So the greatest common factor 121,2940 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 7764/121, 7838/2940

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 7764/121, 7838/2940?

Answer: LCM of Numerators as per given numbers 7764/121, 7838/2940 is

LCM of Numerators i.e. for 7764,7838 is 30427116

GCF of denominators i.e. for 121,2940 is 1.

Thus, LCM of Fractions is 30427116.Finally, LCM of Fractions for 7764/121, 7838/2940 is 30427116.