Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/83, 958/12, 136/874 quickly i.e. 846872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/83, 958/12, 136/874 is 846872.
LCM(13/83, 958/12, 136/874) = 846872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/83,958/12,136/874
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 13,958,136
Least Common Multiple of Numerators i.e. LCM of 13,958,136 is 846872.
GCF of Denominators means GCF of 83,12,874 as per the given fractions.
GCF of 83,12,874 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,958,136
2 | 13, 958, 136 |
13, 479, 68 |
∴ So the LCM of the given numbers is 2 x 13 x 479 x 68 = 846872
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 13,958,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,958,136) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,958,136) x common factors =1 x 2 = 2
LCM(13,958,136) = ( 13 × 958 × 136 ) / 2
LCM(13,958,136) = 1693744 / 2
LCM(13,958,136) = 846872
Lets's calculate GCF of 83,12,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846872/1
Therefore the LCM of Fractions 13/83,958/12,136/874 is 846872
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 83,12,874 . The biggest common factor number is the GCF number.
So the greatest common factor 83,12,874 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 13/83, 958/12, 136/874?
Answer: LCM of Numerators as per given numbers 13/83, 958/12, 136/874 is
LCM of Numerators i.e. for 13,958,136 is 846872
GCF of denominators i.e. for 83,12,874 is 1.
Thus, LCM of Fractions is 846872.Finally, LCM of Fractions for 13/83, 958/12, 136/874 is 846872.