Least Common Multiple of 20/694, 79/214, 180/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/694, 79/214, 180/720 quickly i.e. 7110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/694, 79/214, 180/720 is 7110.

LCM(20/694, 79/214, 180/720) = 7110

LCM of 20/694, 79/214, 180/720

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 20/694,79/214,180/720

Given numbers are 20/694,79/214,180/720

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 20,79,180

Least Common Multiple of Numerators i.e. LCM of 20,79,180 is 14220.

GCF of Denominators means GCF of 694,214,720 as per the given fractions.

GCF of 694,214,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,79,180

LCM of Fractions 20/694,79/214,180/720 is 7110

2 20, 79, 180
2 10, 79, 90
5 5, 79, 45
1, 79, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 79 x 9 = 14220

Least Common Multiple of 20,79,180 with GCF Formula

Least Common Multiple of 20,79,180 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 20,79,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,79,180) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,79,180) x common factors =1 x 20 = 20

LCM(20,79,180) = ( 20 × 79 × 180 ) / 20

LCM(20,79,180) = 284400 / 20

LCM(20,79,180) = 14220


Lets's calculate GCF of 694,214,720

2 694, 214, 720
347, 107, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14220/2

Therefore the LCM of Fractions 20/694,79/214,180/720 is 7110

Greatest Common Factor of 694,214,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,214,720 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 694,214,720 . The biggest common factor number is the GCF number.
So the greatest common factor 694,214,720 is 2.


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 20/694, 79/214, 180/720

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 20/694, 79/214, 180/720?

Answer: LCM of Numerators as per given numbers 20/694, 79/214, 180/720 is

LCM of Numerators i.e. for 20,79,180 is 14220

GCF of denominators i.e. for 694,214,720 is 2.

Thus, LCM of Fractions is 7110.Finally, LCM of Fractions for 20/694, 79/214, 180/720 is 7110.