Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4244/665, 8492/580 quickly i.e. 9010012/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4244/665, 8492/580 is 9010012/5.
LCM(4244/665, 8492/580) = 9010012/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4244/665,8492/580
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 4244,8492
Least Common Multiple of Numerators i.e. LCM of 4244,8492 is 9010012.
GCF of Denominators means GCF of 665,580 as per the given fractions.
GCF of 665,580 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4244,8492
2 | 4244, 8492 |
2 | 2122, 4246 |
1061, 2123 |
∴ So the LCM of the given numbers is 2 x 2 x 1061 x 2123 = 9010012
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 4244,8492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4244,8492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4244,8492) x common factors =4 x 1 = 4
LCM(4244,8492) = ( 4244 × 8492 ) / 4
LCM(4244,8492) = 36040048 / 4
LCM(4244,8492) = 9010012
Lets's calculate GCF of 665,580
5 | 665, 580 |
133, 116 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9010012/5
Therefore the LCM of Fractions 4244/665,8492/580 is 9010012/5
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 665,580 . The biggest common factor number is the GCF number.
So the greatest common factor 665,580 is 5.
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 4244/665, 8492/580?
Answer: LCM of Numerators as per given numbers 4244/665, 8492/580 is
LCM of Numerators i.e. for 4244,8492 is 9010012
GCF of denominators i.e. for 665,580 is 5.
Thus, LCM of Fractions is 9010012/5.Finally, LCM of Fractions for 4244/665, 8492/580 is 9010012/5.