Least Common Multiple of 9760/794, 8219/9932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9760/794, 8219/9932 quickly i.e. 40108720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9760/794, 8219/9932 is 40108720.

LCM(9760/794, 8219/9932) = 40108720

LCM of 9760/794, 8219/9932

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 9760/794,8219/9932

Given numbers are 9760/794,8219/9932

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 9760,8219

Least Common Multiple of Numerators i.e. LCM of 9760,8219 is 80217440.

GCF of Denominators means GCF of 794,9932 as per the given fractions.

GCF of 794,9932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9760,8219

LCM of Fractions 9760/794,8219/9932 is 40108720

Given numbers has no common factors except 1. So, there LCM is their product i.e 80217440

Least Common Multiple of 9760,8219 with GCF Formula

Least Common Multiple of 9760,8219 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 9760,8219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9760,8219) = 1

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

GCF(9760,8219) x common factors =1 x 1 = 1

LCM(9760,8219) = ( 9760 × 8219 ) / 1

LCM(9760,8219) = 80217440 / 1

LCM(9760,8219) = 80217440


Lets's calculate GCF of 794,9932

2 794, 9932
397, 4966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80217440/2

Therefore the LCM of Fractions 9760/794,8219/9932 is 40108720

Greatest Common Factor of 794,9932 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,9932 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1,2,4,13,26,52,191,382,764,2483,4966,9932

Greatest Common Factor

We found the factors 794,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9932 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 9760/794, 8219/9932

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 9760/794, 8219/9932?

Answer: LCM of Numerators as per given numbers 9760/794, 8219/9932 is

LCM of Numerators i.e. for 9760,8219 is 80217440

GCF of denominators i.e. for 794,9932 is 2.

Thus, LCM of Fractions is 40108720.Finally, LCM of Fractions for 9760/794, 8219/9932 is 40108720.