Least Common Multiple of 9221/268, 1305/3768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9221/268, 1305/3768 quickly i.e. 12033405/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9221/268, 1305/3768 is 12033405/4.

LCM(9221/268, 1305/3768) = 12033405/4

LCM of 9221/268, 1305/3768

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 9221/268,1305/3768

Given numbers are 9221/268,1305/3768

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 9221,1305

Least Common Multiple of Numerators i.e. LCM of 9221,1305 is 12033405.

GCF of Denominators means GCF of 268,3768 as per the given fractions.

GCF of 268,3768 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9221,1305

LCM of Fractions 9221/268,1305/3768 is 12033405/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 12033405

Least Common Multiple of 9221,1305 with GCF Formula

Least Common Multiple of 9221,1305 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 9221,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9221,1305) = 1

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

GCF(9221,1305) x common factors =1 x 1 = 1

LCM(9221,1305) = ( 9221 × 1305 ) / 1

LCM(9221,1305) = 12033405 / 1

LCM(9221,1305) = 12033405


Lets's calculate GCF of 268,3768

2 268, 3768
2 134, 1884
67, 942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12033405/4

Therefore the LCM of Fractions 9221/268,1305/3768 is 12033405/4

Greatest Common Factor of 268,3768 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3768 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768

Greatest Common Factor

We found the factors 268,3768 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3768 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 9221/268, 1305/3768

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 9221/268, 1305/3768?

Answer: LCM of Numerators as per given numbers 9221/268, 1305/3768 is

LCM of Numerators i.e. for 9221,1305 is 12033405

GCF of denominators i.e. for 268,3768 is 4.

Thus, LCM of Fractions is 12033405/4.Finally, LCM of Fractions for 9221/268, 1305/3768 is 12033405/4.