Least Common Multiple of 9331/763, 7568/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9331/763, 7568/217 quickly i.e. 234608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9331/763, 7568/217 is 234608.

LCM(9331/763, 7568/217) = 234608

LCM of 9331/763, 7568/217

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 9331/763,7568/217

Given numbers are 9331/763,7568/217

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 9331,7568

Least Common Multiple of Numerators i.e. LCM of 9331,7568 is 1642256.

GCF of Denominators means GCF of 763,217 as per the given fractions.

GCF of 763,217 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9331,7568

LCM of Fractions 9331/763,7568/217 is 234608

43 9331, 7568
217, 176

∴ So the LCM of the given numbers is 43 x 217 x 176 = 1642256

Least Common Multiple of 9331,7568 with GCF Formula

Least Common Multiple of 9331,7568 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 9331,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9331,7568) = 43

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

GCF(9331,7568) x common factors =43 x 1 = 43

LCM(9331,7568) = ( 9331 × 7568 ) / 43

LCM(9331,7568) = 70617008 / 43

LCM(9331,7568) = 1642256


Lets's calculate GCF of 763,217

7 763, 217
109, 31

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1642256/7

Therefore the LCM of Fractions 9331/763,7568/217 is 234608

Greatest Common Factor of 763,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,217 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 763,217 . The biggest common factor number is the GCF number.
So the greatest common factor 763,217 is 7.


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 9331/763, 7568/217

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 9331/763, 7568/217?

Answer: LCM of Numerators as per given numbers 9331/763, 7568/217 is

LCM of Numerators i.e. for 9331,7568 is 1642256

GCF of denominators i.e. for 763,217 is 7.

Thus, LCM of Fractions is 234608.Finally, LCM of Fractions for 9331/763, 7568/217 is 234608.