Least Common Multiple of 923/144, 9864/1594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/144, 9864/1594 quickly i.e. 4552236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/144, 9864/1594 is 4552236.

LCM(923/144, 9864/1594) = 4552236

LCM of 923/144, 9864/1594

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 923/144,9864/1594

Given numbers are 923/144,9864/1594

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 923,9864

Least Common Multiple of Numerators i.e. LCM of 923,9864 is 9104472.

GCF of Denominators means GCF of 144,1594 as per the given fractions.

GCF of 144,1594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,9864

LCM of Fractions 923/144,9864/1594 is 4552236

Given numbers has no common factors except 1. So, there LCM is their product i.e 9104472

Least Common Multiple of 923,9864 with GCF Formula

Least Common Multiple of 923,9864 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 923,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,9864) = 1

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

GCF(923,9864) x common factors =1 x 1 = 1

LCM(923,9864) = ( 923 × 9864 ) / 1

LCM(923,9864) = 9104472 / 1

LCM(923,9864) = 9104472


Lets's calculate GCF of 144,1594

2 144, 1594
72, 797

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9104472/2

Therefore the LCM of Fractions 923/144,9864/1594 is 4552236

Greatest Common Factor of 144,1594 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,1594 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 1594

List of positive integer factors of 1594 that divides 1594 without a remainder.

1,2,797,1594

Greatest Common Factor

We found the factors 144,1594 . The biggest common factor number is the GCF number.
So the greatest common factor 144,1594 is 2.


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 923/144, 9864/1594

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 923/144, 9864/1594?

Answer: LCM of Numerators as per given numbers 923/144, 9864/1594 is

LCM of Numerators i.e. for 923,9864 is 9104472

GCF of denominators i.e. for 144,1594 is 2.

Thus, LCM of Fractions is 4552236.Finally, LCM of Fractions for 923/144, 9864/1594 is 4552236.