Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/10, 252/81, 893/321 quickly i.e. 225036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/10, 252/81, 893/321 is 225036.
LCM(36/10, 252/81, 893/321) = 225036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/10,252/81,893/321
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 36,252,893
Least Common Multiple of Numerators i.e. LCM of 36,252,893 is 225036.
GCF of Denominators means GCF of 10,81,321 as per the given fractions.
GCF of 10,81,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,252,893
2 | 36, 252, 893 |
2 | 18, 126, 893 |
3 | 9, 63, 893 |
3 | 3, 21, 893 |
1, 7, 893 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 893 = 225036
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 36,252,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,252,893) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(36,252,893) x common factors =1 x 36 = 36
LCM(36,252,893) = ( 36 × 252 × 893 ) / 36
LCM(36,252,893) = 8101296 / 36
LCM(36,252,893) = 225036
Lets's calculate GCF of 10,81,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225036/1
Therefore the LCM of Fractions 36/10,252/81,893/321 is 225036
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 10,81,321 . The biggest common factor number is the GCF number.
So the greatest common factor 10,81,321 is 1.
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 36/10, 252/81, 893/321?
Answer: LCM of Numerators as per given numbers 36/10, 252/81, 893/321 is
LCM of Numerators i.e. for 36,252,893 is 225036
GCF of denominators i.e. for 10,81,321 is 1.
Thus, LCM of Fractions is 225036.Finally, LCM of Fractions for 36/10, 252/81, 893/321 is 225036.