Least Common Multiple of 6/720, 28/556, 84/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/720, 28/556, 84/802 quickly i.e. 42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/720, 28/556, 84/802 is 42.

LCM(6/720, 28/556, 84/802) = 42

LCM of 6/720, 28/556, 84/802

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 6/720,28/556,84/802

Given numbers are 6/720,28/556,84/802

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 6,28,84

Least Common Multiple of Numerators i.e. LCM of 6,28,84 is 84.

GCF of Denominators means GCF of 720,556,802 as per the given fractions.

GCF of 720,556,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,28,84

LCM of Fractions 6/720,28/556,84/802 is 42

2 6, 28, 84
2 3, 14, 42
3 3, 7, 21
7 1, 7, 7
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 1 = 84

Least Common Multiple of 6,28,84 with GCF Formula

Least Common Multiple of 6,28,84 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 6,28,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,28,84) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(6,28,84) x common factors =2 x 84 = 168

LCM(6,28,84) = ( 6 × 28 × 84 ) / 168

LCM(6,28,84) = 14112 / 168

LCM(6,28,84) = 84


Lets's calculate GCF of 720,556,802

2 720, 556, 802
360, 278, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84/2

Therefore the LCM of Fractions 6/720,28/556,84/802 is 42

Greatest Common Factor of 720,556,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,556,802 By Matching Biggest Common Factor Method

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

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 720,556,802 . The biggest common factor number is the GCF number.
So the greatest common factor 720,556,802 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 6/720, 28/556, 84/802

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 6/720, 28/556, 84/802?

Answer: LCM of Numerators as per given numbers 6/720, 28/556, 84/802 is

LCM of Numerators i.e. for 6,28,84 is 84

GCF of denominators i.e. for 720,556,802 is 2.

Thus, LCM of Fractions is 42.Finally, LCM of Fractions for 6/720, 28/556, 84/802 is 42.