Least Common Multiple of 243/72, 933/20, 688/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/72, 933/20, 688/936 quickly i.e. 12998556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/72, 933/20, 688/936 is 12998556.

LCM(243/72, 933/20, 688/936) = 12998556

LCM of 243/72, 933/20, 688/936

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 243/72,933/20,688/936

Given numbers are 243/72,933/20,688/936

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 243,933,688

Least Common Multiple of Numerators i.e. LCM of 243,933,688 is 51994224.

GCF of Denominators means GCF of 72,20,936 as per the given fractions.

GCF of 72,20,936 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,933,688

LCM of Fractions 243/72,933/20,688/936 is 12998556

3 243, 933, 688
81, 311, 688

∴ So the LCM of the given numbers is 3 x 81 x 311 x 688 = 51994224

Least Common Multiple of 243,933,688 with GCF Formula

Least Common Multiple of 243,933,688 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 243,933,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,933,688) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(243,933,688) x common factors =1 x 3 = 3

LCM(243,933,688) = ( 243 × 933 × 688 ) / 3

LCM(243,933,688) = 155982672 / 3

LCM(243,933,688) = 51994224


Lets's calculate GCF of 72,20,936

2 72, 20, 936
2 36, 10, 468
18, 5, 234

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51994224/4

Therefore the LCM of Fractions 243/72,933/20,688/936 is 12998556

Greatest Common Factor of 72,20,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,20,936 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 72,20,936 . The biggest common factor number is the GCF number.
So the greatest common factor 72,20,936 is 4.


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 243/72, 933/20, 688/936

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 243/72, 933/20, 688/936?

Answer: LCM of Numerators as per given numbers 243/72, 933/20, 688/936 is

LCM of Numerators i.e. for 243,933,688 is 51994224

GCF of denominators i.e. for 72,20,936 is 4.

Thus, LCM of Fractions is 12998556.Finally, LCM of Fractions for 243/72, 933/20, 688/936 is 12998556.