Least Common Multiple of 5156/715, 6302/5049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5156/715, 6302/5049 quickly i.e. 16246556/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5156/715, 6302/5049 is 16246556/11.

LCM(5156/715, 6302/5049) = 16246556/11

LCM of 5156/715, 6302/5049

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 5156/715,6302/5049

Given numbers are 5156/715,6302/5049

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 5156,6302

Least Common Multiple of Numerators i.e. LCM of 5156,6302 is 16246556.

GCF of Denominators means GCF of 715,5049 as per the given fractions.

GCF of 715,5049 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5156,6302

LCM of Fractions 5156/715,6302/5049 is 16246556/11

2 5156, 6302
2578, 3151

∴ So the LCM of the given numbers is 2 x 2578 x 3151 = 16246556

Least Common Multiple of 5156,6302 with GCF Formula

Least Common Multiple of 5156,6302 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 5156,6302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5156,6302) = 2

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

GCF(5156,6302) x common factors =2 x 1 = 2

LCM(5156,6302) = ( 5156 × 6302 ) / 2

LCM(5156,6302) = 32493112 / 2

LCM(5156,6302) = 16246556


Lets's calculate GCF of 715,5049

11 715, 5049
65, 459

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16246556/11

Therefore the LCM of Fractions 5156/715,6302/5049 is 16246556/11

Greatest Common Factor of 715,5049 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,5049 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Greatest Common Factor

We found the factors 715,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 715,5049 is 11.


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 5156/715, 6302/5049

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 5156/715, 6302/5049?

Answer: LCM of Numerators as per given numbers 5156/715, 6302/5049 is

LCM of Numerators i.e. for 5156,6302 is 16246556

GCF of denominators i.e. for 715,5049 is 11.

Thus, LCM of Fractions is 16246556/11.Finally, LCM of Fractions for 5156/715, 6302/5049 is 16246556/11.