Least Common Multiple of 55/89, 24/36, 259/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/89, 24/36, 259/867 quickly i.e. 341880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/89, 24/36, 259/867 is 341880.

LCM(55/89, 24/36, 259/867) = 341880

LCM of 55/89, 24/36, 259/867

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 55/89,24/36,259/867

Given numbers are 55/89,24/36,259/867

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 55,24,259

Least Common Multiple of Numerators i.e. LCM of 55,24,259 is 341880.

GCF of Denominators means GCF of 89,36,867 as per the given fractions.

GCF of 89,36,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,24,259

LCM of Fractions 55/89,24/36,259/867 is 341880

Given numbers has no common factors except 1. So, there LCM is their product i.e 341880

Least Common Multiple of 55,24,259 with GCF Formula

Least Common Multiple of 55,24,259 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 55,24,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,24,259) = 1

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

GCF(55,24,259) x common factors =1 x 1 = 1

LCM(55,24,259) = ( 55 × 24 × 259 ) / 1

LCM(55,24,259) = 341880 / 1

LCM(55,24,259) = 341880


Lets's calculate GCF of 89,36,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341880/1

Therefore the LCM of Fractions 55/89,24/36,259/867 is 341880

Greatest Common Factor of 89,36,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,36,867 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 89,36,867 . The biggest common factor number is the GCF number.
So the greatest common factor 89,36,867 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 55/89, 24/36, 259/867

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 55/89, 24/36, 259/867?

Answer: LCM of Numerators as per given numbers 55/89, 24/36, 259/867 is

LCM of Numerators i.e. for 55,24,259 is 341880

GCF of denominators i.e. for 89,36,867 is 1.

Thus, LCM of Fractions is 341880.Finally, LCM of Fractions for 55/89, 24/36, 259/867 is 341880.