Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/32, 634/20, 228/594 quickly i.e. 216828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/32, 634/20, 228/594 is 216828.
LCM(72/32, 634/20, 228/594) = 216828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/32,634/20,228/594
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 72,634,228
Least Common Multiple of Numerators i.e. LCM of 72,634,228 is 433656.
GCF of Denominators means GCF of 32,20,594 as per the given fractions.
GCF of 32,20,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,634,228
2 | 72, 634, 228 |
2 | 36, 317, 114 |
3 | 18, 317, 57 |
6, 317, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 317 x 19 = 433656
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 72,634,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,634,228) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(72,634,228) x common factors =2 x 12 = 24
LCM(72,634,228) = ( 72 × 634 × 228 ) / 24
LCM(72,634,228) = 10407744 / 24
LCM(72,634,228) = 433656
Lets's calculate GCF of 32,20,594
2 | 32, 20, 594 |
16, 10, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433656/2
Therefore the LCM of Fractions 72/32,634/20,228/594 is 216828
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 32,20,594 . The biggest common factor number is the GCF number.
So the greatest common factor 32,20,594 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 72/32, 634/20, 228/594?
Answer: LCM of Numerators as per given numbers 72/32, 634/20, 228/594 is
LCM of Numerators i.e. for 72,634,228 is 433656
GCF of denominators i.e. for 32,20,594 is 2.
Thus, LCM of Fractions is 216828.Finally, LCM of Fractions for 72/32, 634/20, 228/594 is 216828.