Least Common Multiple of 797/116, 159/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 797/116, 159/506 quickly i.e. 126723/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 797/116, 159/506 is 126723/2.

LCM(797/116, 159/506) = 126723/2

LCM of 797/116, 159/506

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 797/116,159/506

Given numbers are 797/116,159/506

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 797,159

Least Common Multiple of Numerators i.e. LCM of 797,159 is 126723.

GCF of Denominators means GCF of 116,506 as per the given fractions.

GCF of 116,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 797,159

LCM of Fractions 797/116,159/506 is 126723/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 126723

Least Common Multiple of 797,159 with GCF Formula

Least Common Multiple of 797,159 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 797,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,159) = 1

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

GCF(797,159) x common factors =1 x 1 = 1

LCM(797,159) = ( 797 × 159 ) / 1

LCM(797,159) = 126723 / 1

LCM(797,159) = 126723


Lets's calculate GCF of 116,506

2 116, 506
58, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126723/2

Therefore the LCM of Fractions 797/116,159/506 is 126723/2

Greatest Common Factor of 116,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,506 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 116,506 . The biggest common factor number is the GCF number.
So the greatest common factor 116,506 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 797/116, 159/506

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 797/116, 159/506?

Answer: LCM of Numerators as per given numbers 797/116, 159/506 is

LCM of Numerators i.e. for 797,159 is 126723

GCF of denominators i.e. for 116,506 is 2.

Thus, LCM of Fractions is 126723/2.Finally, LCM of Fractions for 797/116, 159/506 is 126723/2.