Least Common Multiple of 89/369, 408/184, 923/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/369, 408/184, 923/203 quickly i.e. 33515976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/369, 408/184, 923/203 is 33515976.

LCM(89/369, 408/184, 923/203) = 33515976

LCM of 89/369, 408/184, 923/203

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 89/369,408/184,923/203

Given numbers are 89/369,408/184,923/203

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 89,408,923

Least Common Multiple of Numerators i.e. LCM of 89,408,923 is 33515976.

GCF of Denominators means GCF of 369,184,203 as per the given fractions.

GCF of 369,184,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,408,923

LCM of Fractions 89/369,408/184,923/203 is 33515976

Given numbers has no common factors except 1. So, there LCM is their product i.e 33515976

Least Common Multiple of 89,408,923 with GCF Formula

Least Common Multiple of 89,408,923 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 89,408,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,408,923) = 1

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

GCF(89,408,923) x common factors =1 x 1 = 1

LCM(89,408,923) = ( 89 × 408 × 923 ) / 1

LCM(89,408,923) = 33515976 / 1

LCM(89,408,923) = 33515976


Lets's calculate GCF of 369,184,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33515976/1

Therefore the LCM of Fractions 89/369,408/184,923/203 is 33515976

Greatest Common Factor of 369,184,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,184,203 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 369,184,203 . The biggest common factor number is the GCF number.
So the greatest common factor 369,184,203 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 89/369, 408/184, 923/203

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 89/369, 408/184, 923/203?

Answer: LCM of Numerators as per given numbers 89/369, 408/184, 923/203 is

LCM of Numerators i.e. for 89,408,923 is 33515976

GCF of denominators i.e. for 369,184,203 is 1.

Thus, LCM of Fractions is 33515976.Finally, LCM of Fractions for 89/369, 408/184, 923/203 is 33515976.