Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/44, 35/19, 78/67, 96/609 quickly i.e. 2577120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/44, 35/19, 78/67, 96/609 is 2577120.
LCM(59/44, 35/19, 78/67, 96/609) = 2577120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/44,35/19,78/67,96/609
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 59,35,78,96
Least Common Multiple of Numerators i.e. LCM of 59,35,78,96 is 2577120.
GCF of Denominators means GCF of 44,19,67,609 as per the given fractions.
GCF of 44,19,67,609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,35,78,96
2 | 59, 35, 78, 96 |
3 | 59, 35, 39, 48 |
59, 35, 13, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 35 x 13 x 16 = 2577120
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 59,35,78,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,35,78,96) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(59,35,78,96) x common factors =1 x 6 = 6
LCM(59,35,78,96) = ( 59 × 35 × 78 × 96 ) / 6
LCM(59,35,78,96) = 15462720 / 6
LCM(59,35,78,96) = 2577120
Lets's calculate GCF of 44,19,67,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2577120/1
Therefore the LCM of Fractions 59/44,35/19,78/67,96/609 is 2577120
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 44,19,67,609 . The biggest common factor number is the GCF number.
So the greatest common factor 44,19,67,609 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 59/44, 35/19, 78/67, 96/609?
Answer: LCM of Numerators as per given numbers 59/44, 35/19, 78/67, 96/609 is
LCM of Numerators i.e. for 59,35,78,96 is 2577120
GCF of denominators i.e. for 44,19,67,609 is 1.
Thus, LCM of Fractions is 2577120.Finally, LCM of Fractions for 59/44, 35/19, 78/67, 96/609 is 2577120.