Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/958, 135/844 quickly i.e. 78705/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/958, 135/844 is 78705/2.
LCM(583/958, 135/844) = 78705/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/958,135/844
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 583,135
Least Common Multiple of Numerators i.e. LCM of 583,135 is 78705.
GCF of Denominators means GCF of 958,844 as per the given fractions.
GCF of 958,844 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 78705
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 583,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,135) x common factors =1 x 1 = 1
LCM(583,135) = ( 583 × 135 ) / 1
LCM(583,135) = 78705 / 1
LCM(583,135) = 78705
Lets's calculate GCF of 958,844
2 | 958, 844 |
479, 422 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78705/2
Therefore the LCM of Fractions 583/958,135/844 is 78705/2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 958,844 . The biggest common factor number is the GCF number.
So the greatest common factor 958,844 is 2.
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 583/958, 135/844?
Answer: LCM of Numerators as per given numbers 583/958, 135/844 is
LCM of Numerators i.e. for 583,135 is 78705
GCF of denominators i.e. for 958,844 is 2.
Thus, LCM of Fractions is 78705/2.Finally, LCM of Fractions for 583/958, 135/844 is 78705/2.