Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/41, 16/52, 64/63, 41/56 quickly i.e. 49856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/41, 16/52, 64/63, 41/56 is 49856.
LCM(19/41, 16/52, 64/63, 41/56) = 49856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/41,16/52,64/63,41/56
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 19,16,64,41
Least Common Multiple of Numerators i.e. LCM of 19,16,64,41 is 49856.
GCF of Denominators means GCF of 41,52,63,56 as per the given fractions.
GCF of 41,52,63,56 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,16,64,41
2 | 19, 16, 64, 41 |
2 | 19, 8, 32, 41 |
2 | 19, 4, 16, 41 |
2 | 19, 2, 8, 41 |
19, 1, 4, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 1 x 4 x 41 = 49856
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 19,16,64,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,16,64,41) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(19,16,64,41) x common factors =1 x 16 = 16
LCM(19,16,64,41) = ( 19 × 16 × 64 × 41 ) / 16
LCM(19,16,64,41) = 797696 / 16
LCM(19,16,64,41) = 49856
Lets's calculate GCF of 41,52,63,56
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49856/1
Therefore the LCM of Fractions 19/41,16/52,64/63,41/56 is 49856
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Greatest Common Factor
We found the factors 41,52,63,56 . The biggest common factor number is the GCF number.
So the greatest common factor 41,52,63,56 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 19/41, 16/52, 64/63, 41/56?
Answer: LCM of Numerators as per given numbers 19/41, 16/52, 64/63, 41/56 is
LCM of Numerators i.e. for 19,16,64,41 is 49856
GCF of denominators i.e. for 41,52,63,56 is 1.
Thus, LCM of Fractions is 49856.Finally, LCM of Fractions for 19/41, 16/52, 64/63, 41/56 is 49856.