Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/36, 747/5974 quickly i.e. 743265/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/36, 747/5974 is 743265/2.
LCM(995/36, 747/5974) = 743265/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/36,747/5974
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 995,747
Least Common Multiple of Numerators i.e. LCM of 995,747 is 743265.
GCF of Denominators means GCF of 36,5974 as per the given fractions.
GCF of 36,5974 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 743265
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 995,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,747) x common factors =1 x 1 = 1
LCM(995,747) = ( 995 × 747 ) / 1
LCM(995,747) = 743265 / 1
LCM(995,747) = 743265
Lets's calculate GCF of 36,5974
2 | 36, 5974 |
18, 2987 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743265/2
Therefore the LCM of Fractions 995/36,747/5974 is 743265/2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 5974
List of positive integer factors of 5974 that divides 5974 without a remainder.
1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 36,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5974 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 995/36, 747/5974?
Answer: LCM of Numerators as per given numbers 995/36, 747/5974 is
LCM of Numerators i.e. for 995,747 is 743265
GCF of denominators i.e. for 36,5974 is 2.
Thus, LCM of Fractions is 743265/2.Finally, LCM of Fractions for 995/36, 747/5974 is 743265/2.