Least Common Multiple of 118/45, 909/2264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 118/45, 909/2264 quickly i.e. 107262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 118/45, 909/2264 is 107262.

LCM(118/45, 909/2264) = 107262

LCM of 118/45, 909/2264

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 118/45,909/2264

Given numbers are 118/45,909/2264

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 118,909

Least Common Multiple of Numerators i.e. LCM of 118,909 is 107262.

GCF of Denominators means GCF of 45,2264 as per the given fractions.

GCF of 45,2264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 118,909

LCM of Fractions 118/45,909/2264 is 107262

Given numbers has no common factors except 1. So, there LCM is their product i.e 107262

Least Common Multiple of 118,909 with GCF Formula

Least Common Multiple of 118,909 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 118,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,909) = 1

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

GCF(118,909) x common factors =1 x 1 = 1

LCM(118,909) = ( 118 × 909 ) / 1

LCM(118,909) = 107262 / 1

LCM(118,909) = 107262


Lets's calculate GCF of 45,2264

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107262/1

Therefore the LCM of Fractions 118/45,909/2264 is 107262

Greatest Common Factor of 45,2264 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2264 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 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1,2,4,8,283,566,1132,2264

Greatest Common Factor

We found the factors 45,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2264 is 1.


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 118/45, 909/2264

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 118/45, 909/2264?

Answer: LCM of Numerators as per given numbers 118/45, 909/2264 is

LCM of Numerators i.e. for 118,909 is 107262

GCF of denominators i.e. for 45,2264 is 1.

Thus, LCM of Fractions is 107262.Finally, LCM of Fractions for 118/45, 909/2264 is 107262.