Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/531, 3638/6248 quickly i.e. 145520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/531, 3638/6248 is 145520.
LCM(80/531, 3638/6248) = 145520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/531,3638/6248
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 80,3638
Least Common Multiple of Numerators i.e. LCM of 80,3638 is 145520.
GCF of Denominators means GCF of 531,6248 as per the given fractions.
GCF of 531,6248 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,3638
2 | 80, 3638 |
40, 1819 |
∴ So the LCM of the given numbers is 2 x 40 x 1819 = 145520
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 80,3638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,3638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,3638) x common factors =2 x 1 = 2
LCM(80,3638) = ( 80 × 3638 ) / 2
LCM(80,3638) = 291040 / 2
LCM(80,3638) = 145520
Lets's calculate GCF of 531,6248
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145520/1
Therefore the LCM of Fractions 80/531,3638/6248 is 145520
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 6248
List of positive integer factors of 6248 that divides 6248 without a remainder.
1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248
Greatest Common Factor
We found the factors 531,6248 . The biggest common factor number is the GCF number.
So the greatest common factor 531,6248 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 80/531, 3638/6248?
Answer: LCM of Numerators as per given numbers 80/531, 3638/6248 is
LCM of Numerators i.e. for 80,3638 is 145520
GCF of denominators i.e. for 531,6248 is 1.
Thus, LCM of Fractions is 145520.Finally, LCM of Fractions for 80/531, 3638/6248 is 145520.