Least Common Multiple of 13/53, 78/23, 65/42, 717/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/53, 78/23, 65/42, 717/71 quickly i.e. 93210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/53, 78/23, 65/42, 717/71 is 93210.

LCM(13/53, 78/23, 65/42, 717/71) = 93210

LCM of 13/53, 78/23, 65/42, 717/71

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 13/53,78/23,65/42,717/71

Given numbers are 13/53,78/23,65/42,717/71

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 13,78,65,717

Least Common Multiple of Numerators i.e. LCM of 13,78,65,717 is 93210.

GCF of Denominators means GCF of 53,23,42,71 as per the given fractions.

GCF of 53,23,42,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,78,65,717

LCM of Fractions 13/53,78/23,65/42,717/71 is 93210

3 13, 78, 65, 717
13 13, 26, 65, 239
1, 2, 5, 239

∴ So the LCM of the given numbers is 3 x 13 x 1 x 2 x 5 x 239 = 93210

Least Common Multiple of 13,78,65,717 with GCF Formula

Least Common Multiple of 13,78,65,717 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 13,78,65,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,78,65,717) = 1

common factors(in case of two or more numbers have common factors) = 507

GCF(13,78,65,717) x common factors =1 x 507 = 507

LCM(13,78,65,717) = ( 13 × 78 × 65 × 717 ) / 507

LCM(13,78,65,717) = 47257470 / 507

LCM(13,78,65,717) = 93210


Lets's calculate GCF of 53,23,42,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93210/1

Therefore the LCM of Fractions 13/53,78/23,65/42,717/71 is 93210

Greatest Common Factor of 53,23,42,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,23,42,71 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 53,23,42,71 . The biggest common factor number is the GCF number.
So the greatest common factor 53,23,42,71 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 13/53, 78/23, 65/42, 717/71

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 13/53, 78/23, 65/42, 717/71?

Answer: LCM of Numerators as per given numbers 13/53, 78/23, 65/42, 717/71 is

LCM of Numerators i.e. for 13,78,65,717 is 93210

GCF of denominators i.e. for 53,23,42,71 is 1.

Thus, LCM of Fractions is 93210.Finally, LCM of Fractions for 13/53, 78/23, 65/42, 717/71 is 93210.