Least Common Multiple of 504/23, 894/4164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/23, 894/4164 quickly i.e. 75096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/23, 894/4164 is 75096.

LCM(504/23, 894/4164) = 75096

LCM of 504/23, 894/4164

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 504/23,894/4164

Given numbers are 504/23,894/4164

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 504,894

Least Common Multiple of Numerators i.e. LCM of 504,894 is 75096.

GCF of Denominators means GCF of 23,4164 as per the given fractions.

GCF of 23,4164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,894

LCM of Fractions 504/23,894/4164 is 75096

2 504, 894
3 252, 447
84, 149

∴ So the LCM of the given numbers is 2 x 3 x 84 x 149 = 75096

Least Common Multiple of 504,894 with GCF Formula

Least Common Multiple of 504,894 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 504,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,894) = 6

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

GCF(504,894) x common factors =6 x 1 = 6

LCM(504,894) = ( 504 × 894 ) / 6

LCM(504,894) = 450576 / 6

LCM(504,894) = 75096


Lets's calculate GCF of 23,4164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75096/1

Therefore the LCM of Fractions 504/23,894/4164 is 75096

Greatest Common Factor of 23,4164 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,4164 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Greatest Common Factor

We found the factors 23,4164 . The biggest common factor number is the GCF number.
So the greatest common factor 23,4164 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 504/23, 894/4164

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 504/23, 894/4164?

Answer: LCM of Numerators as per given numbers 504/23, 894/4164 is

LCM of Numerators i.e. for 504,894 is 75096

GCF of denominators i.e. for 23,4164 is 1.

Thus, LCM of Fractions is 75096.Finally, LCM of Fractions for 504/23, 894/4164 is 75096.