Least Common Multiple of 9296/140, 6919/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9296/140, 6919/635 quickly i.e. 64319024/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9296/140, 6919/635 is 64319024/5.

LCM(9296/140, 6919/635) = 64319024/5

LCM of 9296/140, 6919/635

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 9296/140,6919/635

Given numbers are 9296/140,6919/635

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 9296,6919

Least Common Multiple of Numerators i.e. LCM of 9296,6919 is 64319024.

GCF of Denominators means GCF of 140,635 as per the given fractions.

GCF of 140,635 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9296,6919

LCM of Fractions 9296/140,6919/635 is 64319024/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 64319024

Least Common Multiple of 9296,6919 with GCF Formula

Least Common Multiple of 9296,6919 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 9296,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9296,6919) = 1

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

GCF(9296,6919) x common factors =1 x 1 = 1

LCM(9296,6919) = ( 9296 × 6919 ) / 1

LCM(9296,6919) = 64319024 / 1

LCM(9296,6919) = 64319024


Lets's calculate GCF of 140,635

5 140, 635
28, 127

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64319024/5

Therefore the LCM of Fractions 9296/140,6919/635 is 64319024/5

Greatest Common Factor of 140,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,635 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 140,635 . The biggest common factor number is the GCF number.
So the greatest common factor 140,635 is 5.


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 9296/140, 6919/635

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 9296/140, 6919/635?

Answer: LCM of Numerators as per given numbers 9296/140, 6919/635 is

LCM of Numerators i.e. for 9296,6919 is 64319024

GCF of denominators i.e. for 140,635 is 5.

Thus, LCM of Fractions is 64319024/5.Finally, LCM of Fractions for 9296/140, 6919/635 is 64319024/5.