Least Common Multiple of 793/78, 120/6141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/78, 120/6141 quickly i.e. 31720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/78, 120/6141 is 31720.

LCM(793/78, 120/6141) = 31720

LCM of 793/78, 120/6141

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 793/78,120/6141

Given numbers are 793/78,120/6141

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 793,120

Least Common Multiple of Numerators i.e. LCM of 793,120 is 95160.

GCF of Denominators means GCF of 78,6141 as per the given fractions.

GCF of 78,6141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,120

LCM of Fractions 793/78,120/6141 is 31720

Given numbers has no common factors except 1. So, there LCM is their product i.e 95160

Least Common Multiple of 793,120 with GCF Formula

Least Common Multiple of 793,120 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 793,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,120) = 1

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

GCF(793,120) x common factors =1 x 1 = 1

LCM(793,120) = ( 793 × 120 ) / 1

LCM(793,120) = 95160 / 1

LCM(793,120) = 95160


Lets's calculate GCF of 78,6141

3 78, 6141
26, 2047

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95160/3

Therefore the LCM of Fractions 793/78,120/6141 is 31720

Greatest Common Factor of 78,6141 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6141 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 6141

List of positive integer factors of 6141 that divides 6141 without a remainder.

1,3,23,69,89,267,2047,6141

Greatest Common Factor

We found the factors 78,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6141 is 3.


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 793/78, 120/6141

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 793/78, 120/6141?

Answer: LCM of Numerators as per given numbers 793/78, 120/6141 is

LCM of Numerators i.e. for 793,120 is 95160

GCF of denominators i.e. for 78,6141 is 3.

Thus, LCM of Fractions is 31720.Finally, LCM of Fractions for 793/78, 120/6141 is 31720.