Least Common Multiple of 7222/442, 7989/9231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7222/442, 7989/9231 quickly i.e. 57696558/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7222/442, 7989/9231 is 57696558/17.

LCM(7222/442, 7989/9231) = 57696558/17

LCM of 7222/442, 7989/9231

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 7222/442,7989/9231

Given numbers are 7222/442,7989/9231

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 7222,7989

Least Common Multiple of Numerators i.e. LCM of 7222,7989 is 57696558.

GCF of Denominators means GCF of 442,9231 as per the given fractions.

GCF of 442,9231 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7222,7989

LCM of Fractions 7222/442,7989/9231 is 57696558/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 57696558

Least Common Multiple of 7222,7989 with GCF Formula

Least Common Multiple of 7222,7989 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 7222,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7222,7989) = 1

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

GCF(7222,7989) x common factors =1 x 1 = 1

LCM(7222,7989) = ( 7222 × 7989 ) / 1

LCM(7222,7989) = 57696558 / 1

LCM(7222,7989) = 57696558


Lets's calculate GCF of 442,9231

17 442, 9231
26, 543

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57696558/17

Therefore the LCM of Fractions 7222/442,7989/9231 is 57696558/17

Greatest Common Factor of 442,9231 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,9231 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1,3,17,51,181,543,3077,9231

Greatest Common Factor

We found the factors 442,9231 . The biggest common factor number is the GCF number.
So the greatest common factor 442,9231 is 17.


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 7222/442, 7989/9231

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 7222/442, 7989/9231?

Answer: LCM of Numerators as per given numbers 7222/442, 7989/9231 is

LCM of Numerators i.e. for 7222,7989 is 57696558

GCF of denominators i.e. for 442,9231 is 17.

Thus, LCM of Fractions is 57696558/17.Finally, LCM of Fractions for 7222/442, 7989/9231 is 57696558/17.