Least Common Multiple of 9754/477, 4696/7134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9754/477, 4696/7134 quickly i.e. 22902392/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9754/477, 4696/7134 is 22902392/3.

LCM(9754/477, 4696/7134) = 22902392/3

LCM of 9754/477, 4696/7134

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 9754/477,4696/7134

Given numbers are 9754/477,4696/7134

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 9754,4696

Least Common Multiple of Numerators i.e. LCM of 9754,4696 is 22902392.

GCF of Denominators means GCF of 477,7134 as per the given fractions.

GCF of 477,7134 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9754,4696

LCM of Fractions 9754/477,4696/7134 is 22902392/3

2 9754, 4696
4877, 2348

∴ So the LCM of the given numbers is 2 x 4877 x 2348 = 22902392

Least Common Multiple of 9754,4696 with GCF Formula

Least Common Multiple of 9754,4696 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 9754,4696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9754,4696) = 2

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

GCF(9754,4696) x common factors =2 x 1 = 2

LCM(9754,4696) = ( 9754 × 4696 ) / 2

LCM(9754,4696) = 45804784 / 2

LCM(9754,4696) = 22902392


Lets's calculate GCF of 477,7134

3 477, 7134
159, 2378

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22902392/3

Therefore the LCM of Fractions 9754/477,4696/7134 is 22902392/3

Greatest Common Factor of 477,7134 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,7134 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Greatest Common Factor

We found the factors 477,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 477,7134 is 3.


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 9754/477, 4696/7134

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 9754/477, 4696/7134?

Answer: LCM of Numerators as per given numbers 9754/477, 4696/7134 is

LCM of Numerators i.e. for 9754,4696 is 22902392

GCF of denominators i.e. for 477,7134 is 3.

Thus, LCM of Fractions is 22902392/3.Finally, LCM of Fractions for 9754/477, 4696/7134 is 22902392/3.