Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/930, 91/494, 82/221 quickly i.e. 29848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/930, 91/494, 82/221 is 29848.
LCM(8/930, 91/494, 82/221) = 29848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/930,91/494,82/221
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 8,91,82
Least Common Multiple of Numerators i.e. LCM of 8,91,82 is 29848.
GCF of Denominators means GCF of 930,494,221 as per the given fractions.
GCF of 930,494,221 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,91,82
2 | 8, 91, 82 |
4, 91, 41 |
∴ So the LCM of the given numbers is 2 x 4 x 91 x 41 = 29848
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 8,91,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,91,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,91,82) x common factors =1 x 2 = 2
LCM(8,91,82) = ( 8 × 91 × 82 ) / 2
LCM(8,91,82) = 59696 / 2
LCM(8,91,82) = 29848
Lets's calculate GCF of 930,494,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29848/1
Therefore the LCM of Fractions 8/930,91/494,82/221 is 29848
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 930,494,221 . The biggest common factor number is the GCF number.
So the greatest common factor 930,494,221 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 8/930, 91/494, 82/221?
Answer: LCM of Numerators as per given numbers 8/930, 91/494, 82/221 is
LCM of Numerators i.e. for 8,91,82 is 29848
GCF of denominators i.e. for 930,494,221 is 1.
Thus, LCM of Fractions is 29848.Finally, LCM of Fractions for 8/930, 91/494, 82/221 is 29848.