Least Common Multiple of 5157/78, 5170/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5157/78, 5170/794 quickly i.e. 13330845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5157/78, 5170/794 is 13330845.

LCM(5157/78, 5170/794) = 13330845

LCM of 5157/78, 5170/794

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 5157/78,5170/794

Given numbers are 5157/78,5170/794

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 5157,5170

Least Common Multiple of Numerators i.e. LCM of 5157,5170 is 26661690.

GCF of Denominators means GCF of 78,794 as per the given fractions.

GCF of 78,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5157,5170

LCM of Fractions 5157/78,5170/794 is 13330845

Given numbers has no common factors except 1. So, there LCM is their product i.e 26661690

Least Common Multiple of 5157,5170 with GCF Formula

Least Common Multiple of 5157,5170 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 5157,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5157,5170) = 1

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

GCF(5157,5170) x common factors =1 x 1 = 1

LCM(5157,5170) = ( 5157 × 5170 ) / 1

LCM(5157,5170) = 26661690 / 1

LCM(5157,5170) = 26661690


Lets's calculate GCF of 78,794

2 78, 794
39, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26661690/2

Therefore the LCM of Fractions 5157/78,5170/794 is 13330845

Greatest Common Factor of 78,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,794 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 78,794 . The biggest common factor number is the GCF number.
So the greatest common factor 78,794 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5157/78, 5170/794

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 5157/78, 5170/794?

Answer: LCM of Numerators as per given numbers 5157/78, 5170/794 is

LCM of Numerators i.e. for 5157,5170 is 26661690

GCF of denominators i.e. for 78,794 is 2.

Thus, LCM of Fractions is 13330845.Finally, LCM of Fractions for 5157/78, 5170/794 is 13330845.