Least Common Multiple of 9309/398, 2022/5520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9309/398, 2022/5520 quickly i.e. 3137133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9309/398, 2022/5520 is 3137133.

LCM(9309/398, 2022/5520) = 3137133

LCM of 9309/398, 2022/5520

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 9309/398,2022/5520

Given numbers are 9309/398,2022/5520

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 9309,2022

Least Common Multiple of Numerators i.e. LCM of 9309,2022 is 6274266.

GCF of Denominators means GCF of 398,5520 as per the given fractions.

GCF of 398,5520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9309,2022

LCM of Fractions 9309/398,2022/5520 is 3137133

3 9309, 2022
3103, 674

∴ So the LCM of the given numbers is 3 x 3103 x 674 = 6274266

Least Common Multiple of 9309,2022 with GCF Formula

Least Common Multiple of 9309,2022 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 9309,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9309,2022) = 3

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

GCF(9309,2022) x common factors =3 x 1 = 3

LCM(9309,2022) = ( 9309 × 2022 ) / 3

LCM(9309,2022) = 18822798 / 3

LCM(9309,2022) = 6274266


Lets's calculate GCF of 398,5520

2 398, 5520
199, 2760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6274266/2

Therefore the LCM of Fractions 9309/398,2022/5520 is 3137133

Greatest Common Factor of 398,5520 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,5520 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors 398,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 398,5520 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 9309/398, 2022/5520

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 9309/398, 2022/5520?

Answer: LCM of Numerators as per given numbers 9309/398, 2022/5520 is

LCM of Numerators i.e. for 9309,2022 is 6274266

GCF of denominators i.e. for 398,5520 is 2.

Thus, LCM of Fractions is 3137133.Finally, LCM of Fractions for 9309/398, 2022/5520 is 3137133.