Least Common Multiple of 5322/790, 6309/7228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5322/790, 6309/7228 quickly i.e. 5596083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5322/790, 6309/7228 is 5596083.

LCM(5322/790, 6309/7228) = 5596083

LCM of 5322/790, 6309/7228

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 5322/790,6309/7228

Given numbers are 5322/790,6309/7228

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 5322,6309

Least Common Multiple of Numerators i.e. LCM of 5322,6309 is 11192166.

GCF of Denominators means GCF of 790,7228 as per the given fractions.

GCF of 790,7228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5322,6309

LCM of Fractions 5322/790,6309/7228 is 5596083

3 5322, 6309
1774, 2103

∴ So the LCM of the given numbers is 3 x 1774 x 2103 = 11192166

Least Common Multiple of 5322,6309 with GCF Formula

Least Common Multiple of 5322,6309 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 5322,6309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5322,6309) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(5322,6309) x common factors =3 x 1 = 3

LCM(5322,6309) = ( 5322 × 6309 ) / 3

LCM(5322,6309) = 33576498 / 3

LCM(5322,6309) = 11192166


Lets's calculate GCF of 790,7228

2 790, 7228
395, 3614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11192166/2

Therefore the LCM of Fractions 5322/790,6309/7228 is 5596083

Greatest Common Factor of 790,7228 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,7228 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Greatest Common Factor

We found the factors 790,7228 . The biggest common factor number is the GCF number.
So the greatest common factor 790,7228 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 5322/790, 6309/7228

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 5322/790, 6309/7228?

Answer: LCM of Numerators as per given numbers 5322/790, 6309/7228 is

LCM of Numerators i.e. for 5322,6309 is 11192166

GCF of denominators i.e. for 790,7228 is 2.

Thus, LCM of Fractions is 5596083.Finally, LCM of Fractions for 5322/790, 6309/7228 is 5596083.