Least Common Multiple of 7302/327, 9827/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7302/327, 9827/398 quickly i.e. 71756754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7302/327, 9827/398 is 71756754.

LCM(7302/327, 9827/398) = 71756754

LCM of 7302/327, 9827/398

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 7302/327,9827/398

Given numbers are 7302/327,9827/398

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 7302,9827

Least Common Multiple of Numerators i.e. LCM of 7302,9827 is 71756754.

GCF of Denominators means GCF of 327,398 as per the given fractions.

GCF of 327,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7302,9827

LCM of Fractions 7302/327,9827/398 is 71756754

Given numbers has no common factors except 1. So, there LCM is their product i.e 71756754

Least Common Multiple of 7302,9827 with GCF Formula

Least Common Multiple of 7302,9827 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 7302,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7302,9827) = 1

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

GCF(7302,9827) x common factors =1 x 1 = 1

LCM(7302,9827) = ( 7302 × 9827 ) / 1

LCM(7302,9827) = 71756754 / 1

LCM(7302,9827) = 71756754


Lets's calculate GCF of 327,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71756754/1

Therefore the LCM of Fractions 7302/327,9827/398 is 71756754

Greatest Common Factor of 327,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,398 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 327,398 . The biggest common factor number is the GCF number.
So the greatest common factor 327,398 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 7302/327, 9827/398

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 7302/327, 9827/398?

Answer: LCM of Numerators as per given numbers 7302/327, 9827/398 is

LCM of Numerators i.e. for 7302,9827 is 71756754

GCF of denominators i.e. for 327,398 is 1.

Thus, LCM of Fractions is 71756754.Finally, LCM of Fractions for 7302/327, 9827/398 is 71756754.