Least Common Multiple of 9608/578, 6174/1138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9608/578, 6174/1138 quickly i.e. 14829948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9608/578, 6174/1138 is 14829948.

LCM(9608/578, 6174/1138) = 14829948

LCM of 9608/578, 6174/1138

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 9608/578,6174/1138

Given numbers are 9608/578,6174/1138

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 9608,6174

Least Common Multiple of Numerators i.e. LCM of 9608,6174 is 29659896.

GCF of Denominators means GCF of 578,1138 as per the given fractions.

GCF of 578,1138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9608,6174

LCM of Fractions 9608/578,6174/1138 is 14829948

2 9608, 6174
4804, 3087

∴ So the LCM of the given numbers is 2 x 4804 x 3087 = 29659896

Least Common Multiple of 9608,6174 with GCF Formula

Least Common Multiple of 9608,6174 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 9608,6174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9608,6174) = 2

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

GCF(9608,6174) x common factors =2 x 1 = 2

LCM(9608,6174) = ( 9608 × 6174 ) / 2

LCM(9608,6174) = 59319792 / 2

LCM(9608,6174) = 29659896


Lets's calculate GCF of 578,1138

2 578, 1138
289, 569

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29659896/2

Therefore the LCM of Fractions 9608/578,6174/1138 is 14829948

Greatest Common Factor of 578,1138 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1138 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1138

List of positive integer factors of 1138 that divides 1138 without a remainder.

1,2,569,1138

Greatest Common Factor

We found the factors 578,1138 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1138 is 2.


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 9608/578, 6174/1138

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 9608/578, 6174/1138?

Answer: LCM of Numerators as per given numbers 9608/578, 6174/1138 is

LCM of Numerators i.e. for 9608,6174 is 29659896

GCF of denominators i.e. for 578,1138 is 2.

Thus, LCM of Fractions is 14829948.Finally, LCM of Fractions for 9608/578, 6174/1138 is 14829948.