Least Common Multiple of 13/40, 13/642, 572/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/40, 13/642, 572/784 quickly i.e. 286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/40, 13/642, 572/784 is 286.

LCM(13/40, 13/642, 572/784) = 286

LCM of 13/40, 13/642, 572/784

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 13/40,13/642,572/784

Given numbers are 13/40,13/642,572/784

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 13,13,572

Least Common Multiple of Numerators i.e. LCM of 13,13,572 is 572.

GCF of Denominators means GCF of 40,642,784 as per the given fractions.

GCF of 40,642,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,13,572

LCM of Fractions 13/40,13/642,572/784 is 286

13 13, 13, 572
1, 1, 44

∴ So the LCM of the given numbers is 13 x 1 x 1 x 44 = 572

Least Common Multiple of 13,13,572 with GCF Formula

Least Common Multiple of 13,13,572 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 13,13,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,13,572) = 13

common factors(in case of two or more numbers have common factors) = 13

GCF(13,13,572) x common factors =13 x 13 = 169

LCM(13,13,572) = ( 13 × 13 × 572 ) / 169

LCM(13,13,572) = 96668 / 169

LCM(13,13,572) = 572


Lets's calculate GCF of 40,642,784

2 40, 642, 784
20, 321, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572/2

Therefore the LCM of Fractions 13/40,13/642,572/784 is 286

Greatest Common Factor of 40,642,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,642,784 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 40,642,784 . The biggest common factor number is the GCF number.
So the greatest common factor 40,642,784 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 13/40, 13/642, 572/784

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 13/40, 13/642, 572/784?

Answer: LCM of Numerators as per given numbers 13/40, 13/642, 572/784 is

LCM of Numerators i.e. for 13,13,572 is 572

GCF of denominators i.e. for 40,642,784 is 2.

Thus, LCM of Fractions is 286.Finally, LCM of Fractions for 13/40, 13/642, 572/784 is 286.