Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2583/992, 5185/713 quickly i.e. 13392855/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2583/992, 5185/713 is 13392855/31.
LCM(2583/992, 5185/713) = 13392855/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2583/992,5185/713
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 2583,5185
Least Common Multiple of Numerators i.e. LCM of 2583,5185 is 13392855.
GCF of Denominators means GCF of 992,713 as per the given fractions.
GCF of 992,713 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2583,5185
Given numbers has no common factors except 1. So, there LCM is their product i.e 13392855
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 2583,5185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2583,5185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2583,5185) x common factors =1 x 1 = 1
LCM(2583,5185) = ( 2583 × 5185 ) / 1
LCM(2583,5185) = 13392855 / 1
LCM(2583,5185) = 13392855
Lets's calculate GCF of 992,713
31 | 992, 713 |
32, 23 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13392855/31
Therefore the LCM of Fractions 2583/992,5185/713 is 13392855/31
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 992,713 . The biggest common factor number is the GCF number.
So the greatest common factor 992,713 is 31.
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 2583/992, 5185/713?
Answer: LCM of Numerators as per given numbers 2583/992, 5185/713 is
LCM of Numerators i.e. for 2583,5185 is 13392855
GCF of denominators i.e. for 992,713 is 31.
Thus, LCM of Fractions is 13392855/31.Finally, LCM of Fractions for 2583/992, 5185/713 is 13392855/31.