Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/39, 82/41, 99/96, 48/302 quickly i.e. 4351248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/39, 82/41, 99/96, 48/302 is 4351248.
LCM(67/39, 82/41, 99/96, 48/302) = 4351248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/39,82/41,99/96,48/302
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 67,82,99,48
Least Common Multiple of Numerators i.e. LCM of 67,82,99,48 is 4351248.
GCF of Denominators means GCF of 39,41,96,302 as per the given fractions.
GCF of 39,41,96,302 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,82,99,48
2 | 67, 82, 99, 48 |
3 | 67, 41, 99, 24 |
67, 41, 33, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 41 x 33 x 8 = 4351248
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 67,82,99,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,82,99,48) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(67,82,99,48) x common factors =1 x 6 = 6
LCM(67,82,99,48) = ( 67 × 82 × 99 × 48 ) / 6
LCM(67,82,99,48) = 26107488 / 6
LCM(67,82,99,48) = 4351248
Lets's calculate GCF of 39,41,96,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4351248/1
Therefore the LCM of Fractions 67/39,82/41,99/96,48/302 is 4351248
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 39,41,96,302 . The biggest common factor number is the GCF number.
So the greatest common factor 39,41,96,302 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 67/39, 82/41, 99/96, 48/302?
Answer: LCM of Numerators as per given numbers 67/39, 82/41, 99/96, 48/302 is
LCM of Numerators i.e. for 67,82,99,48 is 4351248
GCF of denominators i.e. for 39,41,96,302 is 1.
Thus, LCM of Fractions is 4351248.Finally, LCM of Fractions for 67/39, 82/41, 99/96, 48/302 is 4351248.