Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 564/40, 2986/372 quickly i.e. 210513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 564/40, 2986/372 is 210513.
LCM(564/40, 2986/372) = 210513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 564/40,2986/372
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 564,2986
Least Common Multiple of Numerators i.e. LCM of 564,2986 is 842052.
GCF of Denominators means GCF of 40,372 as per the given fractions.
GCF of 40,372 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 564,2986
2 | 564, 2986 |
282, 1493 |
∴ So the LCM of the given numbers is 2 x 282 x 1493 = 842052
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 564,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2986) x common factors =2 x 1 = 2
LCM(564,2986) = ( 564 × 2986 ) / 2
LCM(564,2986) = 1684104 / 2
LCM(564,2986) = 842052
Lets's calculate GCF of 40,372
2 | 40, 372 |
2 | 20, 186 |
10, 93 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 842052/4
Therefore the LCM of Fractions 564/40,2986/372 is 210513
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 40,372 . The biggest common factor number is the GCF number.
So the greatest common factor 40,372 is 4.
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 564/40, 2986/372?
Answer: LCM of Numerators as per given numbers 564/40, 2986/372 is
LCM of Numerators i.e. for 564,2986 is 842052
GCF of denominators i.e. for 40,372 is 4.
Thus, LCM of Fractions is 210513.Finally, LCM of Fractions for 564/40, 2986/372 is 210513.