Least Common Multiple of 45/288, 2600/8559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/288, 2600/8559 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/288, 2600/8559 is 2600.

LCM(45/288, 2600/8559) = 2600

LCM of 45/288, 2600/8559

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 45/288,2600/8559

Given numbers are 45/288,2600/8559

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 45,2600

Least Common Multiple of Numerators i.e. LCM of 45,2600 is 23400.

GCF of Denominators means GCF of 288,8559 as per the given fractions.

GCF of 288,8559 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,2600

LCM of Fractions 45/288,2600/8559 is 2600

5 45, 2600
9, 520

∴ So the LCM of the given numbers is 5 x 9 x 520 = 23400

Least Common Multiple of 45,2600 with GCF Formula

Least Common Multiple of 45,2600 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 45,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,2600) = 5

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

GCF(45,2600) x common factors =5 x 1 = 5

LCM(45,2600) = ( 45 × 2600 ) / 5

LCM(45,2600) = 117000 / 5

LCM(45,2600) = 23400


Lets's calculate GCF of 288,8559

3 288, 8559
3 96, 2853
32, 951

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23400/9

Therefore the LCM of Fractions 45/288,2600/8559 is 2600

Greatest Common Factor of 288,8559 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,8559 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 8559

List of positive integer factors of 8559 that divides 8559 without a remainder.

1,3,9,27,317,951,2853,8559

Greatest Common Factor

We found the factors 288,8559 . The biggest common factor number is the GCF number.
So the greatest common factor 288,8559 is 9.


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 45/288, 2600/8559

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 45/288, 2600/8559?

Answer: LCM of Numerators as per given numbers 45/288, 2600/8559 is

LCM of Numerators i.e. for 45,2600 is 23400

GCF of denominators i.e. for 288,8559 is 9.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 45/288, 2600/8559 is 2600.