Least Common Multiple of 97/183, 43/526, 731/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/183, 43/526, 731/923 quickly i.e. 70907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/183, 43/526, 731/923 is 70907.

LCM(97/183, 43/526, 731/923) = 70907

LCM of 97/183, 43/526, 731/923

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 97/183,43/526,731/923

Given numbers are 97/183,43/526,731/923

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 97,43,731

Least Common Multiple of Numerators i.e. LCM of 97,43,731 is 70907.

GCF of Denominators means GCF of 183,526,923 as per the given fractions.

GCF of 183,526,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,43,731

LCM of Fractions 97/183,43/526,731/923 is 70907

43 97, 43, 731
97, 1, 17

∴ So the LCM of the given numbers is 43 x 97 x 1 x 17 = 70907

Least Common Multiple of 97,43,731 with GCF Formula

Least Common Multiple of 97,43,731 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 97,43,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,43,731) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(97,43,731) x common factors =1 x 43 = 43

LCM(97,43,731) = ( 97 × 43 × 731 ) / 43

LCM(97,43,731) = 3049001 / 43

LCM(97,43,731) = 70907


Lets's calculate GCF of 183,526,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70907/1

Therefore the LCM of Fractions 97/183,43/526,731/923 is 70907

Greatest Common Factor of 183,526,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,526,923 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 183,526,923 . The biggest common factor number is the GCF number.
So the greatest common factor 183,526,923 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 97/183, 43/526, 731/923

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 97/183, 43/526, 731/923?

Answer: LCM of Numerators as per given numbers 97/183, 43/526, 731/923 is

LCM of Numerators i.e. for 97,43,731 is 70907

GCF of denominators i.e. for 183,526,923 is 1.

Thus, LCM of Fractions is 70907.Finally, LCM of Fractions for 97/183, 43/526, 731/923 is 70907.