Least Common Multiple of 2536/741, 1991/2977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2536/741, 1991/2977 quickly i.e. 5049176/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2536/741, 1991/2977 is 5049176/13.

LCM(2536/741, 1991/2977) = 5049176/13

LCM of 2536/741, 1991/2977

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 2536/741,1991/2977

Given numbers are 2536/741,1991/2977

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 2536,1991

Least Common Multiple of Numerators i.e. LCM of 2536,1991 is 5049176.

GCF of Denominators means GCF of 741,2977 as per the given fractions.

GCF of 741,2977 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2536,1991

LCM of Fractions 2536/741,1991/2977 is 5049176/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5049176

Least Common Multiple of 2536,1991 with GCF Formula

Least Common Multiple of 2536,1991 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 2536,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2536,1991) = 1

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

GCF(2536,1991) x common factors =1 x 1 = 1

LCM(2536,1991) = ( 2536 × 1991 ) / 1

LCM(2536,1991) = 5049176 / 1

LCM(2536,1991) = 5049176


Lets's calculate GCF of 741,2977

13 741, 2977
57, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5049176/13

Therefore the LCM of Fractions 2536/741,1991/2977 is 5049176/13

Greatest Common Factor of 741,2977 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,2977 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 2977

List of positive integer factors of 2977 that divides 2977 without a remainder.

1,13,229,2977

Greatest Common Factor

We found the factors 741,2977 . The biggest common factor number is the GCF number.
So the greatest common factor 741,2977 is 13.


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 2536/741, 1991/2977

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 2536/741, 1991/2977?

Answer: LCM of Numerators as per given numbers 2536/741, 1991/2977 is

LCM of Numerators i.e. for 2536,1991 is 5049176

GCF of denominators i.e. for 741,2977 is 13.

Thus, LCM of Fractions is 5049176/13.Finally, LCM of Fractions for 2536/741, 1991/2977 is 5049176/13.