Least Common Multiple of 9742/973, 9176/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9742/973, 9176/3627 quickly i.e. 44696296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9742/973, 9176/3627 is 44696296.

LCM(9742/973, 9176/3627) = 44696296

LCM of 9742/973, 9176/3627

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 9742/973,9176/3627

Given numbers are 9742/973,9176/3627

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 9742,9176

Least Common Multiple of Numerators i.e. LCM of 9742,9176 is 44696296.

GCF of Denominators means GCF of 973,3627 as per the given fractions.

GCF of 973,3627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9742,9176

LCM of Fractions 9742/973,9176/3627 is 44696296

2 9742, 9176
4871, 4588

∴ So the LCM of the given numbers is 2 x 4871 x 4588 = 44696296

Least Common Multiple of 9742,9176 with GCF Formula

Least Common Multiple of 9742,9176 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 9742,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9742,9176) = 2

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

GCF(9742,9176) x common factors =2 x 1 = 2

LCM(9742,9176) = ( 9742 × 9176 ) / 2

LCM(9742,9176) = 89392592 / 2

LCM(9742,9176) = 44696296


Lets's calculate GCF of 973,3627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44696296/1

Therefore the LCM of Fractions 9742/973,9176/3627 is 44696296

Greatest Common Factor of 973,3627 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,3627 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

Greatest Common Factor

We found the factors 973,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 973,3627 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 9742/973, 9176/3627

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 9742/973, 9176/3627?

Answer: LCM of Numerators as per given numbers 9742/973, 9176/3627 is

LCM of Numerators i.e. for 9742,9176 is 44696296

GCF of denominators i.e. for 973,3627 is 1.

Thus, LCM of Fractions is 44696296.Finally, LCM of Fractions for 9742/973, 9176/3627 is 44696296.