Least Common Multiple of 69/13, 20/56, 99/30, 81/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/13, 20/56, 99/30, 81/10 quickly i.e. 409860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/13, 20/56, 99/30, 81/10 is 409860.

LCM(69/13, 20/56, 99/30, 81/10) = 409860

LCM of 69/13, 20/56, 99/30, 81/10

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 69/13,20/56,99/30,81/10

Given numbers are 69/13,20/56,99/30,81/10

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 69,20,99,81

Least Common Multiple of Numerators i.e. LCM of 69,20,99,81 is 409860.

GCF of Denominators means GCF of 13,56,30,10 as per the given fractions.

GCF of 13,56,30,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,20,99,81

LCM of Fractions 69/13,20/56,99/30,81/10 is 409860

3 69, 20, 99, 81
3 23, 20, 33, 27
23, 20, 11, 9

∴ So the LCM of the given numbers is 3 x 3 x 23 x 20 x 11 x 9 = 409860

Least Common Multiple of 69,20,99,81 with GCF Formula

Least Common Multiple of 69,20,99,81 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 69,20,99,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,20,99,81) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(69,20,99,81) x common factors =1 x 27 = 27

LCM(69,20,99,81) = ( 69 × 20 × 99 × 81 ) / 27

LCM(69,20,99,81) = 11066220 / 27

LCM(69,20,99,81) = 409860


Lets's calculate GCF of 13,56,30,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409860/1

Therefore the LCM of Fractions 69/13,20/56,99/30,81/10 is 409860

Greatest Common Factor of 13,56,30,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,56,30,10 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 13,56,30,10 . The biggest common factor number is the GCF number.
So the greatest common factor 13,56,30,10 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 69/13, 20/56, 99/30, 81/10

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 69/13, 20/56, 99/30, 81/10?

Answer: LCM of Numerators as per given numbers 69/13, 20/56, 99/30, 81/10 is

LCM of Numerators i.e. for 69,20,99,81 is 409860

GCF of denominators i.e. for 13,56,30,10 is 1.

Thus, LCM of Fractions is 409860.Finally, LCM of Fractions for 69/13, 20/56, 99/30, 81/10 is 409860.