Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/61, 80/46, 12/39, 98/594 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/61, 80/46, 12/39, 98/594 is 11760.
LCM(60/61, 80/46, 12/39, 98/594) = 11760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/61,80/46,12/39,98/594
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 60,80,12,98
Least Common Multiple of Numerators i.e. LCM of 60,80,12,98 is 11760.
GCF of Denominators means GCF of 61,46,39,594 as per the given fractions.
GCF of 61,46,39,594 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,80,12,98
2 | 60, 80, 12, 98 |
2 | 30, 40, 6, 49 |
3 | 15, 20, 3, 49 |
5 | 5, 20, 1, 49 |
1, 4, 1, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 1 x 49 = 11760
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 60,80,12,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,80,12,98) = 2
common factors(in case of two or more numbers have common factors) = 240
GCF(60,80,12,98) x common factors =2 x 240 = 480
LCM(60,80,12,98) = ( 60 × 80 × 12 × 98 ) / 480
LCM(60,80,12,98) = 5644800 / 480
LCM(60,80,12,98) = 11760
Lets's calculate GCF of 61,46,39,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1
Therefore the LCM of Fractions 60/61,80/46,12/39,98/594 is 11760
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 61,46,39,594 . The biggest common factor number is the GCF number.
So the greatest common factor 61,46,39,594 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 60/61, 80/46, 12/39, 98/594?
Answer: LCM of Numerators as per given numbers 60/61, 80/46, 12/39, 98/594 is
LCM of Numerators i.e. for 60,80,12,98 is 11760
GCF of denominators i.e. for 61,46,39,594 is 1.
Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 60/61, 80/46, 12/39, 98/594 is 11760.