Least Common Multiple of 60/590, 3729/4704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/590, 3729/4704 quickly i.e. 37290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/590, 3729/4704 is 37290.

LCM(60/590, 3729/4704) = 37290

LCM of 60/590, 3729/4704

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 60/590,3729/4704

Given numbers are 60/590,3729/4704

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 60,3729

Least Common Multiple of Numerators i.e. LCM of 60,3729 is 74580.

GCF of Denominators means GCF of 590,4704 as per the given fractions.

GCF of 590,4704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3729

LCM of Fractions 60/590,3729/4704 is 37290

3 60, 3729
20, 1243

∴ So the LCM of the given numbers is 3 x 20 x 1243 = 74580

Least Common Multiple of 60,3729 with GCF Formula

Least Common Multiple of 60,3729 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 60,3729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3729) = 3

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

GCF(60,3729) x common factors =3 x 1 = 3

LCM(60,3729) = ( 60 × 3729 ) / 3

LCM(60,3729) = 223740 / 3

LCM(60,3729) = 74580


Lets's calculate GCF of 590,4704

2 590, 4704
295, 2352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74580/2

Therefore the LCM of Fractions 60/590,3729/4704 is 37290

Greatest Common Factor of 590,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,4704 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 590,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 590,4704 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 60/590, 3729/4704

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 60/590, 3729/4704?

Answer: LCM of Numerators as per given numbers 60/590, 3729/4704 is

LCM of Numerators i.e. for 60,3729 is 74580

GCF of denominators i.e. for 590,4704 is 2.

Thus, LCM of Fractions is 37290.Finally, LCM of Fractions for 60/590, 3729/4704 is 37290.