Least Common Multiple of 360/45, 109/2244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/45, 109/2244 quickly i.e. 13080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/45, 109/2244 is 13080.

LCM(360/45, 109/2244) = 13080

LCM of 360/45, 109/2244

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 360/45,109/2244

Given numbers are 360/45,109/2244

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 360,109

Least Common Multiple of Numerators i.e. LCM of 360,109 is 39240.

GCF of Denominators means GCF of 45,2244 as per the given fractions.

GCF of 45,2244 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,109

LCM of Fractions 360/45,109/2244 is 13080

Given numbers has no common factors except 1. So, there LCM is their product i.e 39240

Least Common Multiple of 360,109 with GCF Formula

Least Common Multiple of 360,109 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 360,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,109) = 1

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

GCF(360,109) x common factors =1 x 1 = 1

LCM(360,109) = ( 360 × 109 ) / 1

LCM(360,109) = 39240 / 1

LCM(360,109) = 39240


Lets's calculate GCF of 45,2244

3 45, 2244
15, 748

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39240/3

Therefore the LCM of Fractions 360/45,109/2244 is 13080

Greatest Common Factor of 45,2244 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2244 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244

Greatest Common Factor

We found the factors 45,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2244 is 3.


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 360/45, 109/2244

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 360/45, 109/2244?

Answer: LCM of Numerators as per given numbers 360/45, 109/2244 is

LCM of Numerators i.e. for 360,109 is 39240

GCF of denominators i.e. for 45,2244 is 3.

Thus, LCM of Fractions is 13080.Finally, LCM of Fractions for 360/45, 109/2244 is 13080.