Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/40, 431/35, 863/387 quickly i.e. 12274449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/40, 431/35, 863/387 is 12274449.
LCM(33/40, 431/35, 863/387) = 12274449
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/40,431/35,863/387
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 33,431,863
Least Common Multiple of Numerators i.e. LCM of 33,431,863 is 12274449.
GCF of Denominators means GCF of 40,35,387 as per the given fractions.
GCF of 40,35,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,431,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 12274449
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 33,431,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,431,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,431,863) x common factors =1 x 1 = 1
LCM(33,431,863) = ( 33 × 431 × 863 ) / 1
LCM(33,431,863) = 12274449 / 1
LCM(33,431,863) = 12274449
Lets's calculate GCF of 40,35,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12274449/1
Therefore the LCM of Fractions 33/40,431/35,863/387 is 12274449
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 40,35,387 . The biggest common factor number is the GCF number.
So the greatest common factor 40,35,387 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 33/40, 431/35, 863/387?
Answer: LCM of Numerators as per given numbers 33/40, 431/35, 863/387 is
LCM of Numerators i.e. for 33,431,863 is 12274449
GCF of denominators i.e. for 40,35,387 is 1.
Thus, LCM of Fractions is 12274449.Finally, LCM of Fractions for 33/40, 431/35, 863/387 is 12274449.