Least Common Multiple of 720/79, 860/66, 428/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/79, 860/66, 428/79 quickly i.e. 3312720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/79, 860/66, 428/79 is 3312720.

LCM(720/79, 860/66, 428/79) = 3312720

LCM of 720/79, 860/66, 428/79

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 720/79,860/66,428/79

Given numbers are 720/79,860/66,428/79

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 720,860,428

Least Common Multiple of Numerators i.e. LCM of 720,860,428 is 3312720.

GCF of Denominators means GCF of 79,66,79 as per the given fractions.

GCF of 79,66,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,860,428

LCM of Fractions 720/79,860/66,428/79 is 3312720

2 720, 860, 428
2 360, 430, 214
5 180, 215, 107
36, 43, 107

∴ So the LCM of the given numbers is 2 x 2 x 5 x 36 x 43 x 107 = 3312720

Least Common Multiple of 720,860,428 with GCF Formula

Least Common Multiple of 720,860,428 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 720,860,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,860,428) = 4

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

GCF(720,860,428) x common factors =4 x 20 = 80

LCM(720,860,428) = ( 720 × 860 × 428 ) / 80

LCM(720,860,428) = 265017600 / 80

LCM(720,860,428) = 3312720


Lets's calculate GCF of 79,66,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3312720/1

Therefore the LCM of Fractions 720/79,860/66,428/79 is 3312720

Greatest Common Factor of 79,66,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,66,79 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 79,66,79 . The biggest common factor number is the GCF number.
So the greatest common factor 79,66,79 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 720/79, 860/66, 428/79

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 720/79, 860/66, 428/79?

Answer: LCM of Numerators as per given numbers 720/79, 860/66, 428/79 is

LCM of Numerators i.e. for 720,860,428 is 3312720

GCF of denominators i.e. for 79,66,79 is 1.

Thus, LCM of Fractions is 3312720.Finally, LCM of Fractions for 720/79, 860/66, 428/79 is 3312720.