Least Common Multiple of 2849/793, 9456/8047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2849/793, 9456/8047 quickly i.e. 26940144/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2849/793, 9456/8047 is 26940144/13.

LCM(2849/793, 9456/8047) = 26940144/13

LCM of 2849/793, 9456/8047

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 2849/793,9456/8047

Given numbers are 2849/793,9456/8047

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 2849,9456

Least Common Multiple of Numerators i.e. LCM of 2849,9456 is 26940144.

GCF of Denominators means GCF of 793,8047 as per the given fractions.

GCF of 793,8047 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2849,9456

LCM of Fractions 2849/793,9456/8047 is 26940144/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 26940144

Least Common Multiple of 2849,9456 with GCF Formula

Least Common Multiple of 2849,9456 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 2849,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2849,9456) = 1

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

GCF(2849,9456) x common factors =1 x 1 = 1

LCM(2849,9456) = ( 2849 × 9456 ) / 1

LCM(2849,9456) = 26940144 / 1

LCM(2849,9456) = 26940144


Lets's calculate GCF of 793,8047

13 793, 8047
61, 619

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26940144/13

Therefore the LCM of Fractions 2849/793,9456/8047 is 26940144/13

Greatest Common Factor of 793,8047 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,8047 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 8047

List of positive integer factors of 8047 that divides 8047 without a remainder.

1,13,619,8047

Greatest Common Factor

We found the factors 793,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 793,8047 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2849/793, 9456/8047

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 2849/793, 9456/8047?

Answer: LCM of Numerators as per given numbers 2849/793, 9456/8047 is

LCM of Numerators i.e. for 2849,9456 is 26940144

GCF of denominators i.e. for 793,8047 is 13.

Thus, LCM of Fractions is 26940144/13.Finally, LCM of Fractions for 2849/793, 9456/8047 is 26940144/13.