Least Common Multiple of 923/975, 891/888, 915/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 923/975, 891/888, 915/183 quickly i.e. 83609955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/975, 891/888, 915/183 is 83609955.

LCM(923/975, 891/888, 915/183) = 83609955

LCM of 923/975, 891/888, 915/183

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 923/975,891/888,915/183

Given numbers are 923/975,891/888,915/183

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 923,891,915

Least Common Multiple of Numerators i.e. LCM of 923,891,915 is 250829865.

GCF of Denominators means GCF of 975,888,183 as per the given fractions.

GCF of 975,888,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,891,915

LCM of Fractions 923/975,891/888,915/183 is 83609955

3 923, 891, 915
923, 297, 305

∴ So the LCM of the given numbers is 3 x 923 x 297 x 305 = 250829865

Least Common Multiple of 923,891,915 with GCF Formula

Least Common Multiple of 923,891,915 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 923,891,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,891,915) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(923,891,915) x common factors =1 x 3 = 3

LCM(923,891,915) = ( 923 × 891 × 915 ) / 3

LCM(923,891,915) = 752489595 / 3

LCM(923,891,915) = 250829865


Lets's calculate GCF of 975,888,183

3 975, 888, 183
325, 296, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250829865/3

Therefore the LCM of Fractions 923/975,891/888,915/183 is 83609955

Greatest Common Factor of 975,888,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,888,183 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 183

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

1,3,61,183

Greatest Common Factor

We found the factors 975,888,183 . The biggest common factor number is the GCF number.
So the greatest common factor 975,888,183 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 923/975, 891/888, 915/183

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 923/975, 891/888, 915/183?

Answer: LCM of Numerators as per given numbers 923/975, 891/888, 915/183 is

LCM of Numerators i.e. for 923,891,915 is 250829865

GCF of denominators i.e. for 975,888,183 is 3.

Thus, LCM of Fractions is 83609955.Finally, LCM of Fractions for 923/975, 891/888, 915/183 is 83609955.