Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/334, 5626/9493 quickly i.e. 225040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/334, 5626/9493 is 225040.
LCM(80/334, 5626/9493) = 225040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/334,5626/9493
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 80,5626
Least Common Multiple of Numerators i.e. LCM of 80,5626 is 225040.
GCF of Denominators means GCF of 334,9493 as per the given fractions.
GCF of 334,9493 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,5626
2 | 80, 5626 |
40, 2813 |
∴ So the LCM of the given numbers is 2 x 40 x 2813 = 225040
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 80,5626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,5626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,5626) x common factors =2 x 1 = 2
LCM(80,5626) = ( 80 × 5626 ) / 2
LCM(80,5626) = 450080 / 2
LCM(80,5626) = 225040
Lets's calculate GCF of 334,9493
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225040/1
Therefore the LCM of Fractions 80/334,5626/9493 is 225040
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 9493
List of positive integer factors of 9493 that divides 9493 without a remainder.
1,11,863,9493
Greatest Common Factor
We found the factors 334,9493 . The biggest common factor number is the GCF number.
So the greatest common factor 334,9493 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 80/334, 5626/9493?
Answer: LCM of Numerators as per given numbers 80/334, 5626/9493 is
LCM of Numerators i.e. for 80,5626 is 225040
GCF of denominators i.e. for 334,9493 is 1.
Thus, LCM of Fractions is 225040.Finally, LCM of Fractions for 80/334, 5626/9493 is 225040.