Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/94, 496/91, 483/85 quickly i.e. 12697104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/94, 496/91, 483/85 is 12697104.
LCM(318/94, 496/91, 483/85) = 12697104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/94,496/91,483/85
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 318,496,483
Least Common Multiple of Numerators i.e. LCM of 318,496,483 is 12697104.
GCF of Denominators means GCF of 94,91,85 as per the given fractions.
GCF of 94,91,85 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,496,483
2 | 318, 496, 483 |
3 | 159, 248, 483 |
53, 248, 161 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 248 x 161 = 12697104
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 318,496,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,496,483) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(318,496,483) x common factors =1 x 6 = 6
LCM(318,496,483) = ( 318 × 496 × 483 ) / 6
LCM(318,496,483) = 76182624 / 6
LCM(318,496,483) = 12697104
Lets's calculate GCF of 94,91,85
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12697104/1
Therefore the LCM of Fractions 318/94,496/91,483/85 is 12697104
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Greatest Common Factor
We found the factors 94,91,85 . The biggest common factor number is the GCF number.
So the greatest common factor 94,91,85 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 318/94, 496/91, 483/85?
Answer: LCM of Numerators as per given numbers 318/94, 496/91, 483/85 is
LCM of Numerators i.e. for 318,496,483 is 12697104
GCF of denominators i.e. for 94,91,85 is 1.
Thus, LCM of Fractions is 12697104.Finally, LCM of Fractions for 318/94, 496/91, 483/85 is 12697104.