Least Common Multiple of 420/87, 789/64, 605/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/87, 789/64, 605/380 quickly i.e. 13365660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/87, 789/64, 605/380 is 13365660.

LCM(420/87, 789/64, 605/380) = 13365660

LCM of 420/87, 789/64, 605/380

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 420/87,789/64,605/380

Given numbers are 420/87,789/64,605/380

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 420,789,605

Least Common Multiple of Numerators i.e. LCM of 420,789,605 is 13365660.

GCF of Denominators means GCF of 87,64,380 as per the given fractions.

GCF of 87,64,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,789,605

LCM of Fractions 420/87,789/64,605/380 is 13365660

3 420, 789, 605
5 140, 263, 605
28, 263, 121

∴ So the LCM of the given numbers is 3 x 5 x 28 x 263 x 121 = 13365660

Least Common Multiple of 420,789,605 with GCF Formula

Least Common Multiple of 420,789,605 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 420,789,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,789,605) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(420,789,605) x common factors =1 x 15 = 15

LCM(420,789,605) = ( 420 × 789 × 605 ) / 15

LCM(420,789,605) = 200484900 / 15

LCM(420,789,605) = 13365660


Lets's calculate GCF of 87,64,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13365660/1

Therefore the LCM of Fractions 420/87,789/64,605/380 is 13365660

Greatest Common Factor of 87,64,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,64,380 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 87,64,380 . The biggest common factor number is the GCF number.
So the greatest common factor 87,64,380 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 420/87, 789/64, 605/380

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 420/87, 789/64, 605/380?

Answer: LCM of Numerators as per given numbers 420/87, 789/64, 605/380 is

LCM of Numerators i.e. for 420,789,605 is 13365660

GCF of denominators i.e. for 87,64,380 is 1.

Thus, LCM of Fractions is 13365660.Finally, LCM of Fractions for 420/87, 789/64, 605/380 is 13365660.