Least Common Multiple of 504/60, 936/20, 741/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/60, 936/20, 741/604 quickly i.e. 31122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/60, 936/20, 741/604 is 31122.

LCM(504/60, 936/20, 741/604) = 31122

LCM of 504/60, 936/20, 741/604

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 504/60,936/20,741/604

Given numbers are 504/60,936/20,741/604

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 504,936,741

Least Common Multiple of Numerators i.e. LCM of 504,936,741 is 124488.

GCF of Denominators means GCF of 60,20,604 as per the given fractions.

GCF of 60,20,604 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,936,741

LCM of Fractions 504/60,936/20,741/604 is 31122

2 504, 936, 741
2 252, 468, 741
2 126, 234, 741
3 63, 117, 741
3 21, 39, 247
13 7, 13, 247
7, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 7 x 1 x 19 = 124488

Least Common Multiple of 504,936,741 with GCF Formula

Least Common Multiple of 504,936,741 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 504,936,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,936,741) = 3

common factors(in case of two or more numbers have common factors) = 936

GCF(504,936,741) x common factors =3 x 936 = 2808

LCM(504,936,741) = ( 504 × 936 × 741 ) / 2808

LCM(504,936,741) = 349562304 / 2808

LCM(504,936,741) = 124488


Lets's calculate GCF of 60,20,604

2 60, 20, 604
2 30, 10, 302
15, 5, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124488/4

Therefore the LCM of Fractions 504/60,936/20,741/604 is 31122

Greatest Common Factor of 60,20,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,20,604 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 60,20,604 . The biggest common factor number is the GCF number.
So the greatest common factor 60,20,604 is 4.


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 504/60, 936/20, 741/604

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 504/60, 936/20, 741/604?

Answer: LCM of Numerators as per given numbers 504/60, 936/20, 741/604 is

LCM of Numerators i.e. for 504,936,741 is 124488

GCF of denominators i.e. for 60,20,604 is 4.

Thus, LCM of Fractions is 31122.Finally, LCM of Fractions for 504/60, 936/20, 741/604 is 31122.