Least Common Multiple of 787/78, 394/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 787/78, 394/169 quickly i.e. 310078/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/78, 394/169 is 310078/13.

LCM(787/78, 394/169) = 310078/13

LCM of 787/78, 394/169

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 787/78,394/169

Given numbers are 787/78,394/169

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 787,394

Least Common Multiple of Numerators i.e. LCM of 787,394 is 310078.

GCF of Denominators means GCF of 78,169 as per the given fractions.

GCF of 78,169 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,394

LCM of Fractions 787/78,394/169 is 310078/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 310078

Least Common Multiple of 787,394 with GCF Formula

Least Common Multiple of 787,394 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 787,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,394) = 1

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

GCF(787,394) x common factors =1 x 1 = 1

LCM(787,394) = ( 787 × 394 ) / 1

LCM(787,394) = 310078 / 1

LCM(787,394) = 310078


Lets's calculate GCF of 78,169

13 78, 169
6, 13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310078/13

Therefore the LCM of Fractions 787/78,394/169 is 310078/13

Greatest Common Factor of 78,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,169 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 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 78,169 . The biggest common factor number is the GCF number.
So the greatest common factor 78,169 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 787/78, 394/169

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 787/78, 394/169?

Answer: LCM of Numerators as per given numbers 787/78, 394/169 is

LCM of Numerators i.e. for 787,394 is 310078

GCF of denominators i.e. for 78,169 is 13.

Thus, LCM of Fractions is 310078/13.Finally, LCM of Fractions for 787/78, 394/169 is 310078/13.