Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/92, 40/384, 396/134 quickly i.e. 81180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/92, 40/384, 396/134 is 81180.
LCM(82/92, 40/384, 396/134) = 81180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/92,40/384,396/134
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 82,40,396
Least Common Multiple of Numerators i.e. LCM of 82,40,396 is 162360.
GCF of Denominators means GCF of 92,384,134 as per the given fractions.
GCF of 92,384,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,40,396
2 | 82, 40, 396 |
2 | 41, 20, 198 |
41, 10, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 10 x 99 = 162360
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 82,40,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,40,396) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(82,40,396) x common factors =2 x 4 = 8
LCM(82,40,396) = ( 82 × 40 × 396 ) / 8
LCM(82,40,396) = 1298880 / 8
LCM(82,40,396) = 162360
Lets's calculate GCF of 92,384,134
2 | 92, 384, 134 |
46, 192, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162360/2
Therefore the LCM of Fractions 82/92,40/384,396/134 is 81180
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 92,384,134 . The biggest common factor number is the GCF number.
So the greatest common factor 92,384,134 is 2.
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 82/92, 40/384, 396/134?
Answer: LCM of Numerators as per given numbers 82/92, 40/384, 396/134 is
LCM of Numerators i.e. for 82,40,396 is 162360
GCF of denominators i.e. for 92,384,134 is 2.
Thus, LCM of Fractions is 81180.Finally, LCM of Fractions for 82/92, 40/384, 396/134 is 81180.