Least Common Multiple of 73/90, 323/45, 969/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/90, 323/45, 969/921 quickly i.e. 23579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/90, 323/45, 969/921 is 23579.

LCM(73/90, 323/45, 969/921) = 23579

LCM of 73/90, 323/45, 969/921

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 73/90,323/45,969/921

Given numbers are 73/90,323/45,969/921

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 73,323,969

Least Common Multiple of Numerators i.e. LCM of 73,323,969 is 70737.

GCF of Denominators means GCF of 90,45,921 as per the given fractions.

GCF of 90,45,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,323,969

LCM of Fractions 73/90,323/45,969/921 is 23579

17 73, 323, 969
19 73, 19, 57
73, 1, 3

∴ So the LCM of the given numbers is 17 x 19 x 73 x 1 x 3 = 70737

Least Common Multiple of 73,323,969 with GCF Formula

Least Common Multiple of 73,323,969 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 73,323,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,323,969) = 1

common factors(in case of two or more numbers have common factors) = 323

GCF(73,323,969) x common factors =1 x 323 = 323

LCM(73,323,969) = ( 73 × 323 × 969 ) / 323

LCM(73,323,969) = 22848051 / 323

LCM(73,323,969) = 70737


Lets's calculate GCF of 90,45,921

3 90, 45, 921
30, 15, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70737/3

Therefore the LCM of Fractions 73/90,323/45,969/921 is 23579

Greatest Common Factor of 90,45,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,45,921 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 90,45,921 . The biggest common factor number is the GCF number.
So the greatest common factor 90,45,921 is 3.


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 73/90, 323/45, 969/921

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 73/90, 323/45, 969/921?

Answer: LCM of Numerators as per given numbers 73/90, 323/45, 969/921 is

LCM of Numerators i.e. for 73,323,969 is 70737

GCF of denominators i.e. for 90,45,921 is 3.

Thus, LCM of Fractions is 23579.Finally, LCM of Fractions for 73/90, 323/45, 969/921 is 23579.