Least Common Multiple of 13/40, 65/28, 16/43, 30/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/40, 65/28, 16/43, 30/913 quickly i.e. 3120 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, 65/28, 16/43, 30/913 is 3120.

LCM(13/40, 65/28, 16/43, 30/913) = 3120

LCM of 13/40, 65/28, 16/43, 30/913

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 13/40,65/28,16/43,30/913

Given numbers are 13/40,65/28,16/43,30/913

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 13,65,16,30

Least Common Multiple of Numerators i.e. LCM of 13,65,16,30 is 3120.

GCF of Denominators means GCF of 40,28,43,913 as per the given fractions.

GCF of 40,28,43,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,65,16,30

LCM of Fractions 13/40,65/28,16/43,30/913 is 3120

2 13, 65, 16, 30
5 13, 65, 8, 15
13 13, 13, 8, 3
1, 1, 8, 3

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 x 8 x 3 = 3120

Least Common Multiple of 13,65,16,30 with GCF Formula

Least Common Multiple of 13,65,16,30 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 13,65,16,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,65,16,30) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(13,65,16,30) x common factors =1 x 130 = 130

LCM(13,65,16,30) = ( 13 × 65 × 16 × 30 ) / 130

LCM(13,65,16,30) = 405600 / 130

LCM(13,65,16,30) = 3120


Lets's calculate GCF of 40,28,43,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/1

Therefore the LCM of Fractions 13/40,65/28,16/43,30/913 is 3120

Greatest Common Factor of 40,28,43,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,28,43,913 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 40,28,43,913 . The biggest common factor number is the GCF number.
So the greatest common factor 40,28,43,913 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 13/40, 65/28, 16/43, 30/913

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, 65/28, 16/43, 30/913?

Answer: LCM of Numerators as per given numbers 13/40, 65/28, 16/43, 30/913 is

LCM of Numerators i.e. for 13,65,16,30 is 3120

GCF of denominators i.e. for 40,28,43,913 is 1.

Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 13/40, 65/28, 16/43, 30/913 is 3120.