Least Common Multiple of 74/39, 60/36, 19/13, 40/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/39, 60/36, 19/13, 40/396 quickly i.e. 84360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/39, 60/36, 19/13, 40/396 is 84360.

LCM(74/39, 60/36, 19/13, 40/396) = 84360

LCM of 74/39, 60/36, 19/13, 40/396

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 74/39,60/36,19/13,40/396

Given numbers are 74/39,60/36,19/13,40/396

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 74,60,19,40

Least Common Multiple of Numerators i.e. LCM of 74,60,19,40 is 84360.

GCF of Denominators means GCF of 39,36,13,396 as per the given fractions.

GCF of 39,36,13,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,60,19,40

LCM of Fractions 74/39,60/36,19/13,40/396 is 84360

2 74, 60, 19, 40
2 37, 30, 19, 20
5 37, 15, 19, 10
37, 3, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 3 x 19 x 2 = 84360

Least Common Multiple of 74,60,19,40 with GCF Formula

Least Common Multiple of 74,60,19,40 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 74,60,19,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,19,40) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(74,60,19,40) x common factors =1 x 40 = 40

LCM(74,60,19,40) = ( 74 × 60 × 19 × 40 ) / 40

LCM(74,60,19,40) = 3374400 / 40

LCM(74,60,19,40) = 84360


Lets's calculate GCF of 39,36,13,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84360/1

Therefore the LCM of Fractions 74/39,60/36,19/13,40/396 is 84360

Greatest Common Factor of 39,36,13,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,36,13,396 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 39,36,13,396 . The biggest common factor number is the GCF number.
So the greatest common factor 39,36,13,396 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 74/39, 60/36, 19/13, 40/396

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 74/39, 60/36, 19/13, 40/396?

Answer: LCM of Numerators as per given numbers 74/39, 60/36, 19/13, 40/396 is

LCM of Numerators i.e. for 74,60,19,40 is 84360

GCF of denominators i.e. for 39,36,13,396 is 1.

Thus, LCM of Fractions is 84360.Finally, LCM of Fractions for 74/39, 60/36, 19/13, 40/396 is 84360.