Least Common Multiple of 20/124, 769/395, 770/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/124, 769/395, 770/789 quickly i.e. 1184260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/124, 769/395, 770/789 is 1184260.

LCM(20/124, 769/395, 770/789) = 1184260

LCM of 20/124, 769/395, 770/789

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 20/124,769/395,770/789

Given numbers are 20/124,769/395,770/789

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 20,769,770

Least Common Multiple of Numerators i.e. LCM of 20,769,770 is 1184260.

GCF of Denominators means GCF of 124,395,789 as per the given fractions.

GCF of 124,395,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,769,770

LCM of Fractions 20/124,769/395,770/789 is 1184260

2 20, 769, 770
5 10, 769, 385
2, 769, 77

∴ So the LCM of the given numbers is 2 x 5 x 2 x 769 x 77 = 1184260

Least Common Multiple of 20,769,770 with GCF Formula

Least Common Multiple of 20,769,770 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 20,769,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,769,770) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(20,769,770) x common factors =1 x 10 = 10

LCM(20,769,770) = ( 20 × 769 × 770 ) / 10

LCM(20,769,770) = 11842600 / 10

LCM(20,769,770) = 1184260


Lets's calculate GCF of 124,395,789

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184260/1

Therefore the LCM of Fractions 20/124,769/395,770/789 is 1184260

Greatest Common Factor of 124,395,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,395,789 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 124,395,789 . The biggest common factor number is the GCF number.
So the greatest common factor 124,395,789 is 1.


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 20/124, 769/395, 770/789

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 20/124, 769/395, 770/789?

Answer: LCM of Numerators as per given numbers 20/124, 769/395, 770/789 is

LCM of Numerators i.e. for 20,769,770 is 1184260

GCF of denominators i.e. for 124,395,789 is 1.

Thus, LCM of Fractions is 1184260.Finally, LCM of Fractions for 20/124, 769/395, 770/789 is 1184260.