Least Common Multiple of 9354/329, 8763/7896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9354/329, 8763/7896 quickly i.e. 27323034/329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9354/329, 8763/7896 is 27323034/329.

LCM(9354/329, 8763/7896) = 27323034/329

LCM of 9354/329, 8763/7896

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 9354/329,8763/7896

Given numbers are 9354/329,8763/7896

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 9354,8763

Least Common Multiple of Numerators i.e. LCM of 9354,8763 is 27323034.

GCF of Denominators means GCF of 329,7896 as per the given fractions.

GCF of 329,7896 is 329 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9354,8763

LCM of Fractions 9354/329,8763/7896 is 27323034/329

3 9354, 8763
3118, 2921

∴ So the LCM of the given numbers is 3 x 3118 x 2921 = 27323034

Least Common Multiple of 9354,8763 with GCF Formula

Least Common Multiple of 9354,8763 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 9354,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9354,8763) = 3

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

GCF(9354,8763) x common factors =3 x 1 = 3

LCM(9354,8763) = ( 9354 × 8763 ) / 3

LCM(9354,8763) = 81969102 / 3

LCM(9354,8763) = 27323034


Lets's calculate GCF of 329,7896

7 329, 7896
47 47, 1128
1, 24

∴ So the GCF of the given numbers is 7 x 47 = 329

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27323034/329

Therefore the LCM of Fractions 9354/329,8763/7896 is 27323034/329

Greatest Common Factor of 329,7896 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,7896 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896

Greatest Common Factor

We found the factors 329,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 329,7896 is 329.


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 9354/329, 8763/7896

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 9354/329, 8763/7896?

Answer: LCM of Numerators as per given numbers 9354/329, 8763/7896 is

LCM of Numerators i.e. for 9354,8763 is 27323034

GCF of denominators i.e. for 329,7896 is 329.

Thus, LCM of Fractions is 27323034/329.Finally, LCM of Fractions for 9354/329, 8763/7896 is 27323034/329.