Least Common Multiple of 289/45, 918/8623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/45, 918/8623 quickly i.e. 15606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/45, 918/8623 is 15606.

LCM(289/45, 918/8623) = 15606

LCM of 289/45, 918/8623

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 289/45,918/8623

Given numbers are 289/45,918/8623

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 289,918

Least Common Multiple of Numerators i.e. LCM of 289,918 is 15606.

GCF of Denominators means GCF of 45,8623 as per the given fractions.

GCF of 45,8623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,918

LCM of Fractions 289/45,918/8623 is 15606

17 289, 918
17, 54

∴ So the LCM of the given numbers is 17 x 17 x 54 = 15606

Least Common Multiple of 289,918 with GCF Formula

Least Common Multiple of 289,918 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 289,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,918) = 17

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

GCF(289,918) x common factors =17 x 1 = 17

LCM(289,918) = ( 289 × 918 ) / 17

LCM(289,918) = 265302 / 17

LCM(289,918) = 15606


Lets's calculate GCF of 45,8623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15606/1

Therefore the LCM of Fractions 289/45,918/8623 is 15606

Greatest Common Factor of 45,8623 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,8623 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 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Greatest Common Factor

We found the factors 45,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 45,8623 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 289/45, 918/8623

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 289/45, 918/8623?

Answer: LCM of Numerators as per given numbers 289/45, 918/8623 is

LCM of Numerators i.e. for 289,918 is 15606

GCF of denominators i.e. for 45,8623 is 1.

Thus, LCM of Fractions is 15606.Finally, LCM of Fractions for 289/45, 918/8623 is 15606.