Least Common Multiple of 9232/240, 7319/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9232/240, 7319/983 quickly i.e. 67569008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9232/240, 7319/983 is 67569008.

LCM(9232/240, 7319/983) = 67569008

LCM of 9232/240, 7319/983

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 9232/240,7319/983

Given numbers are 9232/240,7319/983

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 9232,7319

Least Common Multiple of Numerators i.e. LCM of 9232,7319 is 67569008.

GCF of Denominators means GCF of 240,983 as per the given fractions.

GCF of 240,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9232,7319

LCM of Fractions 9232/240,7319/983 is 67569008

Given numbers has no common factors except 1. So, there LCM is their product i.e 67569008

Least Common Multiple of 9232,7319 with GCF Formula

Least Common Multiple of 9232,7319 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 9232,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9232,7319) = 1

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

GCF(9232,7319) x common factors =1 x 1 = 1

LCM(9232,7319) = ( 9232 × 7319 ) / 1

LCM(9232,7319) = 67569008 / 1

LCM(9232,7319) = 67569008


Lets's calculate GCF of 240,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67569008/1

Therefore the LCM of Fractions 9232/240,7319/983 is 67569008

Greatest Common Factor of 240,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,983 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 240,983 . The biggest common factor number is the GCF number.
So the greatest common factor 240,983 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 9232/240, 7319/983

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 9232/240, 7319/983?

Answer: LCM of Numerators as per given numbers 9232/240, 7319/983 is

LCM of Numerators i.e. for 9232,7319 is 67569008

GCF of denominators i.e. for 240,983 is 1.

Thus, LCM of Fractions is 67569008.Finally, LCM of Fractions for 9232/240, 7319/983 is 67569008.