Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/82, 35/86, 24/39, 31/745 quickly i.e. 1588440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/82, 35/86, 24/39, 31/745 is 1588440.
LCM(61/82, 35/86, 24/39, 31/745) = 1588440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/82,35/86,24/39,31/745
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 61,35,24,31
Least Common Multiple of Numerators i.e. LCM of 61,35,24,31 is 1588440.
GCF of Denominators means GCF of 82,86,39,745 as per the given fractions.
GCF of 82,86,39,745 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,35,24,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 1588440
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 61,35,24,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,35,24,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,35,24,31) x common factors =1 x 1 = 1
LCM(61,35,24,31) = ( 61 × 35 × 24 × 31 ) / 1
LCM(61,35,24,31) = 1588440 / 1
LCM(61,35,24,31) = 1588440
Lets's calculate GCF of 82,86,39,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1588440/1
Therefore the LCM of Fractions 61/82,35/86,24/39,31/745 is 1588440
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 82,86,39,745 . The biggest common factor number is the GCF number.
So the greatest common factor 82,86,39,745 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 61/82, 35/86, 24/39, 31/745?
Answer: LCM of Numerators as per given numbers 61/82, 35/86, 24/39, 31/745 is
LCM of Numerators i.e. for 61,35,24,31 is 1588440
GCF of denominators i.e. for 82,86,39,745 is 1.
Thus, LCM of Fractions is 1588440.Finally, LCM of Fractions for 61/82, 35/86, 24/39, 31/745 is 1588440.