Least Common Multiple of 441/922, 7641/6948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/922, 7641/6948 quickly i.e. 374409/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/922, 7641/6948 is 374409/2.

LCM(441/922, 7641/6948) = 374409/2

LCM of 441/922, 7641/6948

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 441/922,7641/6948

Given numbers are 441/922,7641/6948

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 441,7641

Least Common Multiple of Numerators i.e. LCM of 441,7641 is 374409.

GCF of Denominators means GCF of 922,6948 as per the given fractions.

GCF of 922,6948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,7641

LCM of Fractions 441/922,7641/6948 is 374409/2

3 441, 7641
3 147, 2547
49, 849

∴ So the LCM of the given numbers is 3 x 3 x 49 x 849 = 374409

Least Common Multiple of 441,7641 with GCF Formula

Least Common Multiple of 441,7641 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 441,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,7641) = 9

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

GCF(441,7641) x common factors =9 x 1 = 9

LCM(441,7641) = ( 441 × 7641 ) / 9

LCM(441,7641) = 3369681 / 9

LCM(441,7641) = 374409


Lets's calculate GCF of 922,6948

2 922, 6948
461, 3474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374409/2

Therefore the LCM of Fractions 441/922,7641/6948 is 374409/2

Greatest Common Factor of 922,6948 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,6948 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948

Greatest Common Factor

We found the factors 922,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 922,6948 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 441/922, 7641/6948

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 441/922, 7641/6948?

Answer: LCM of Numerators as per given numbers 441/922, 7641/6948 is

LCM of Numerators i.e. for 441,7641 is 374409

GCF of denominators i.e. for 922,6948 is 2.

Thus, LCM of Fractions is 374409/2.Finally, LCM of Fractions for 441/922, 7641/6948 is 374409/2.