Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/324, 531/582, 157/857 quickly i.e. 40099527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/324, 531/582, 157/857 is 40099527.
LCM(481/324, 531/582, 157/857) = 40099527
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/324,531/582,157/857
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 481,531,157
Least Common Multiple of Numerators i.e. LCM of 481,531,157 is 40099527.
GCF of Denominators means GCF of 324,582,857 as per the given fractions.
GCF of 324,582,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,531,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 40099527
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 481,531,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,531,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,531,157) x common factors =1 x 1 = 1
LCM(481,531,157) = ( 481 × 531 × 157 ) / 1
LCM(481,531,157) = 40099527 / 1
LCM(481,531,157) = 40099527
Lets's calculate GCF of 324,582,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40099527/1
Therefore the LCM of Fractions 481/324,531/582,157/857 is 40099527
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 324,582,857 . The biggest common factor number is the GCF number.
So the greatest common factor 324,582,857 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 481/324, 531/582, 157/857?
Answer: LCM of Numerators as per given numbers 481/324, 531/582, 157/857 is
LCM of Numerators i.e. for 481,531,157 is 40099527
GCF of denominators i.e. for 324,582,857 is 1.
Thus, LCM of Fractions is 40099527.Finally, LCM of Fractions for 481/324, 531/582, 157/857 is 40099527.