Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/85, 24/60, 482/42 quickly i.e. 109896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/85, 24/60, 482/42 is 109896.
LCM(19/85, 24/60, 482/42) = 109896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/85,24/60,482/42
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 19,24,482
Least Common Multiple of Numerators i.e. LCM of 19,24,482 is 109896.
GCF of Denominators means GCF of 85,60,42 as per the given fractions.
GCF of 85,60,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,24,482
2 | 19, 24, 482 |
19, 12, 241 |
∴ So the LCM of the given numbers is 2 x 19 x 12 x 241 = 109896
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 19,24,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,24,482) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,24,482) x common factors =1 x 2 = 2
LCM(19,24,482) = ( 19 × 24 × 482 ) / 2
LCM(19,24,482) = 219792 / 2
LCM(19,24,482) = 109896
Lets's calculate GCF of 85,60,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109896/1
Therefore the LCM of Fractions 19/85,24/60,482/42 is 109896
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 85,60,42 . The biggest common factor number is the GCF number.
So the greatest common factor 85,60,42 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 19/85, 24/60, 482/42?
Answer: LCM of Numerators as per given numbers 19/85, 24/60, 482/42 is
LCM of Numerators i.e. for 19,24,482 is 109896
GCF of denominators i.e. for 85,60,42 is 1.
Thus, LCM of Fractions is 109896.Finally, LCM of Fractions for 19/85, 24/60, 482/42 is 109896.