Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/78, 12/14, 480/190 quickly i.e. 9840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/78, 12/14, 480/190 is 9840.
LCM(82/78, 12/14, 480/190) = 9840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/78,12/14,480/190
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 82,12,480
Least Common Multiple of Numerators i.e. LCM of 82,12,480 is 19680.
GCF of Denominators means GCF of 78,14,190 as per the given fractions.
GCF of 78,14,190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,12,480
2 | 82, 12, 480 |
2 | 41, 6, 240 |
3 | 41, 3, 120 |
41, 1, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 1 x 40 = 19680
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 82,12,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,12,480) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(82,12,480) x common factors =2 x 12 = 24
LCM(82,12,480) = ( 82 × 12 × 480 ) / 24
LCM(82,12,480) = 472320 / 24
LCM(82,12,480) = 19680
Lets's calculate GCF of 78,14,190
2 | 78, 14, 190 |
39, 7, 95 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19680/2
Therefore the LCM of Fractions 82/78,12/14,480/190 is 9840
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 78,14,190 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,190 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 82/78, 12/14, 480/190?
Answer: LCM of Numerators as per given numbers 82/78, 12/14, 480/190 is
LCM of Numerators i.e. for 82,12,480 is 19680
GCF of denominators i.e. for 78,14,190 is 2.
Thus, LCM of Fractions is 9840.Finally, LCM of Fractions for 82/78, 12/14, 480/190 is 9840.