Least Common Multiple of 289/50, 909/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/50, 909/146 quickly i.e. 262701/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/50, 909/146 is 262701/2.

LCM(289/50, 909/146) = 262701/2

LCM of 289/50, 909/146

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 289/50,909/146

Given numbers are 289/50,909/146

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 289,909

Least Common Multiple of Numerators i.e. LCM of 289,909 is 262701.

GCF of Denominators means GCF of 50,146 as per the given fractions.

GCF of 50,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,909

LCM of Fractions 289/50,909/146 is 262701/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 262701

Least Common Multiple of 289,909 with GCF Formula

Least Common Multiple of 289,909 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 289,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,909) = 1

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

GCF(289,909) x common factors =1 x 1 = 1

LCM(289,909) = ( 289 × 909 ) / 1

LCM(289,909) = 262701 / 1

LCM(289,909) = 262701


Lets's calculate GCF of 50,146

2 50, 146
25, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262701/2

Therefore the LCM of Fractions 289/50,909/146 is 262701/2

Greatest Common Factor of 50,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,146 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 50,146 . The biggest common factor number is the GCF number.
So the greatest common factor 50,146 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 289/50, 909/146

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 289/50, 909/146?

Answer: LCM of Numerators as per given numbers 289/50, 909/146 is

LCM of Numerators i.e. for 289,909 is 262701

GCF of denominators i.e. for 50,146 is 2.

Thus, LCM of Fractions is 262701/2.Finally, LCM of Fractions for 289/50, 909/146 is 262701/2.