Least Common Multiple of 18/660, 6212/9224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/660, 6212/9224 quickly i.e. 13977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/660, 6212/9224 is 13977.

LCM(18/660, 6212/9224) = 13977

LCM of 18/660, 6212/9224

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 18/660,6212/9224

Given numbers are 18/660,6212/9224

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 18,6212

Least Common Multiple of Numerators i.e. LCM of 18,6212 is 55908.

GCF of Denominators means GCF of 660,9224 as per the given fractions.

GCF of 660,9224 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,6212

LCM of Fractions 18/660,6212/9224 is 13977

2 18, 6212
9, 3106

∴ So the LCM of the given numbers is 2 x 9 x 3106 = 55908

Least Common Multiple of 18,6212 with GCF Formula

Least Common Multiple of 18,6212 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 18,6212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,6212) = 2

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

GCF(18,6212) x common factors =2 x 1 = 2

LCM(18,6212) = ( 18 × 6212 ) / 2

LCM(18,6212) = 111816 / 2

LCM(18,6212) = 55908


Lets's calculate GCF of 660,9224

2 660, 9224
2 330, 4612
165, 2306

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55908/4

Therefore the LCM of Fractions 18/660,6212/9224 is 13977

Greatest Common Factor of 660,9224 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,9224 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1,2,4,8,1153,2306,4612,9224

Greatest Common Factor

We found the factors 660,9224 . The biggest common factor number is the GCF number.
So the greatest common factor 660,9224 is 4.


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 18/660, 6212/9224

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 18/660, 6212/9224?

Answer: LCM of Numerators as per given numbers 18/660, 6212/9224 is

LCM of Numerators i.e. for 18,6212 is 55908

GCF of denominators i.e. for 660,9224 is 4.

Thus, LCM of Fractions is 13977.Finally, LCM of Fractions for 18/660, 6212/9224 is 13977.