Least Common Multiple of 7517/723, 9743/7606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7517/723, 9743/7606 quickly i.e. 73238131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7517/723, 9743/7606 is 73238131.

LCM(7517/723, 9743/7606) = 73238131

LCM of 7517/723, 9743/7606

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 7517/723,9743/7606

Given numbers are 7517/723,9743/7606

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 7517,9743

Least Common Multiple of Numerators i.e. LCM of 7517,9743 is 73238131.

GCF of Denominators means GCF of 723,7606 as per the given fractions.

GCF of 723,7606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7517,9743

LCM of Fractions 7517/723,9743/7606 is 73238131

Given numbers has no common factors except 1. So, there LCM is their product i.e 73238131

Least Common Multiple of 7517,9743 with GCF Formula

Least Common Multiple of 7517,9743 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 7517,9743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7517,9743) = 1

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

GCF(7517,9743) x common factors =1 x 1 = 1

LCM(7517,9743) = ( 7517 × 9743 ) / 1

LCM(7517,9743) = 73238131 / 1

LCM(7517,9743) = 73238131


Lets's calculate GCF of 723,7606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73238131/1

Therefore the LCM of Fractions 7517/723,9743/7606 is 73238131

Greatest Common Factor of 723,7606 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,7606 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 7606

List of positive integer factors of 7606 that divides 7606 without a remainder.

1,2,3803,7606

Greatest Common Factor

We found the factors 723,7606 . The biggest common factor number is the GCF number.
So the greatest common factor 723,7606 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 7517/723, 9743/7606

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 7517/723, 9743/7606?

Answer: LCM of Numerators as per given numbers 7517/723, 9743/7606 is

LCM of Numerators i.e. for 7517,9743 is 73238131

GCF of denominators i.e. for 723,7606 is 1.

Thus, LCM of Fractions is 73238131.Finally, LCM of Fractions for 7517/723, 9743/7606 is 73238131.