Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 582/72, 383/1874 quickly i.e. 111453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 582/72, 383/1874 is 111453.
LCM(582/72, 383/1874) = 111453
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 582/72,383/1874
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 582,383
Least Common Multiple of Numerators i.e. LCM of 582,383 is 222906.
GCF of Denominators means GCF of 72,1874 as per the given fractions.
GCF of 72,1874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 582,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 222906
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 582,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,383) x common factors =1 x 1 = 1
LCM(582,383) = ( 582 × 383 ) / 1
LCM(582,383) = 222906 / 1
LCM(582,383) = 222906
Lets's calculate GCF of 72,1874
2 | 72, 1874 |
36, 937 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222906/2
Therefore the LCM of Fractions 582/72,383/1874 is 111453
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 1874
List of positive integer factors of 1874 that divides 1874 without a remainder.
1,2,937,1874
Greatest Common Factor
We found the factors 72,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1874 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 582/72, 383/1874?
Answer: LCM of Numerators as per given numbers 582/72, 383/1874 is
LCM of Numerators i.e. for 582,383 is 222906
GCF of denominators i.e. for 72,1874 is 2.
Thus, LCM of Fractions is 111453.Finally, LCM of Fractions for 582/72, 383/1874 is 111453.