Least Common Multiple of 2736/728, 7118/5149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2736/728, 7118/5149 quickly i.e. 9737424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2736/728, 7118/5149 is 9737424.

LCM(2736/728, 7118/5149) = 9737424

LCM of 2736/728, 7118/5149

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 2736/728,7118/5149

Given numbers are 2736/728,7118/5149

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 2736,7118

Least Common Multiple of Numerators i.e. LCM of 2736,7118 is 9737424.

GCF of Denominators means GCF of 728,5149 as per the given fractions.

GCF of 728,5149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2736,7118

LCM of Fractions 2736/728,7118/5149 is 9737424

2 2736, 7118
1368, 3559

∴ So the LCM of the given numbers is 2 x 1368 x 3559 = 9737424

Least Common Multiple of 2736,7118 with GCF Formula

Least Common Multiple of 2736,7118 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 2736,7118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2736,7118) = 2

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

GCF(2736,7118) x common factors =2 x 1 = 2

LCM(2736,7118) = ( 2736 × 7118 ) / 2

LCM(2736,7118) = 19474848 / 2

LCM(2736,7118) = 9737424


Lets's calculate GCF of 728,5149

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9737424/1

Therefore the LCM of Fractions 2736/728,7118/5149 is 9737424

Greatest Common Factor of 728,5149 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,5149 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1,19,271,5149

Greatest Common Factor

We found the factors 728,5149 . The biggest common factor number is the GCF number.
So the greatest common factor 728,5149 is 1.


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 2736/728, 7118/5149

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 2736/728, 7118/5149?

Answer: LCM of Numerators as per given numbers 2736/728, 7118/5149 is

LCM of Numerators i.e. for 2736,7118 is 9737424

GCF of denominators i.e. for 728,5149 is 1.

Thus, LCM of Fractions is 9737424.Finally, LCM of Fractions for 2736/728, 7118/5149 is 9737424.