Least Common Multiple of 73/18, 38/92, 504/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/18, 38/92, 504/644 quickly i.e. 349524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/18, 38/92, 504/644 is 349524.

LCM(73/18, 38/92, 504/644) = 349524

LCM of 73/18, 38/92, 504/644

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 73/18,38/92,504/644

Given numbers are 73/18,38/92,504/644

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 73,38,504

Least Common Multiple of Numerators i.e. LCM of 73,38,504 is 699048.

GCF of Denominators means GCF of 18,92,644 as per the given fractions.

GCF of 18,92,644 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,38,504

LCM of Fractions 73/18,38/92,504/644 is 349524

2 73, 38, 504
73, 19, 252

∴ So the LCM of the given numbers is 2 x 73 x 19 x 252 = 699048

Least Common Multiple of 73,38,504 with GCF Formula

Least Common Multiple of 73,38,504 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 73,38,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,38,504) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,38,504) x common factors =1 x 2 = 2

LCM(73,38,504) = ( 73 × 38 × 504 ) / 2

LCM(73,38,504) = 1398096 / 2

LCM(73,38,504) = 699048


Lets's calculate GCF of 18,92,644

2 18, 92, 644
9, 46, 322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699048/2

Therefore the LCM of Fractions 73/18,38/92,504/644 is 349524

Greatest Common Factor of 18,92,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,92,644 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 18,92,644 . The biggest common factor number is the GCF number.
So the greatest common factor 18,92,644 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 73/18, 38/92, 504/644

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 73/18, 38/92, 504/644?

Answer: LCM of Numerators as per given numbers 73/18, 38/92, 504/644 is

LCM of Numerators i.e. for 73,38,504 is 699048

GCF of denominators i.e. for 18,92,644 is 2.

Thus, LCM of Fractions is 349524.Finally, LCM of Fractions for 73/18, 38/92, 504/644 is 349524.