Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/384, 36/114, 293/807 quickly i.e. 66804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/384, 36/114, 293/807 is 66804.
LCM(57/384, 36/114, 293/807) = 66804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/384,36/114,293/807
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 57,36,293
Least Common Multiple of Numerators i.e. LCM of 57,36,293 is 200412.
GCF of Denominators means GCF of 384,114,807 as per the given fractions.
GCF of 384,114,807 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,36,293
3 | 57, 36, 293 |
19, 12, 293 |
∴ So the LCM of the given numbers is 3 x 19 x 12 x 293 = 200412
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 57,36,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,36,293) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,36,293) x common factors =1 x 3 = 3
LCM(57,36,293) = ( 57 × 36 × 293 ) / 3
LCM(57,36,293) = 601236 / 3
LCM(57,36,293) = 200412
Lets's calculate GCF of 384,114,807
3 | 384, 114, 807 |
128, 38, 269 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200412/3
Therefore the LCM of Fractions 57/384,36/114,293/807 is 66804
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 384,114,807 . The biggest common factor number is the GCF number.
So the greatest common factor 384,114,807 is 3.
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 57/384, 36/114, 293/807?
Answer: LCM of Numerators as per given numbers 57/384, 36/114, 293/807 is
LCM of Numerators i.e. for 57,36,293 is 200412
GCF of denominators i.e. for 384,114,807 is 3.
Thus, LCM of Fractions is 66804.Finally, LCM of Fractions for 57/384, 36/114, 293/807 is 66804.