Least Common Multiple of 7432/517, 9122/9537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7432/517, 9122/9537 quickly i.e. 33897352/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7432/517, 9122/9537 is 33897352/11.

LCM(7432/517, 9122/9537) = 33897352/11

LCM of 7432/517, 9122/9537

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 7432/517,9122/9537

Given numbers are 7432/517,9122/9537

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 7432,9122

Least Common Multiple of Numerators i.e. LCM of 7432,9122 is 33897352.

GCF of Denominators means GCF of 517,9537 as per the given fractions.

GCF of 517,9537 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7432,9122

LCM of Fractions 7432/517,9122/9537 is 33897352/11

2 7432, 9122
3716, 4561

∴ So the LCM of the given numbers is 2 x 3716 x 4561 = 33897352

Least Common Multiple of 7432,9122 with GCF Formula

Least Common Multiple of 7432,9122 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 7432,9122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7432,9122) = 2

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

GCF(7432,9122) x common factors =2 x 1 = 2

LCM(7432,9122) = ( 7432 × 9122 ) / 2

LCM(7432,9122) = 67794704 / 2

LCM(7432,9122) = 33897352


Lets's calculate GCF of 517,9537

11 517, 9537
47, 867

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33897352/11

Therefore the LCM of Fractions 7432/517,9122/9537 is 33897352/11

Greatest Common Factor of 517,9537 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,9537 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors 517,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 517,9537 is 11.


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 7432/517, 9122/9537

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 7432/517, 9122/9537?

Answer: LCM of Numerators as per given numbers 7432/517, 9122/9537 is

LCM of Numerators i.e. for 7432,9122 is 33897352

GCF of denominators i.e. for 517,9537 is 11.

Thus, LCM of Fractions is 33897352/11.Finally, LCM of Fractions for 7432/517, 9122/9537 is 33897352/11.