Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 207/47, 564/8558 quickly i.e. 38916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 207/47, 564/8558 is 38916.
LCM(207/47, 564/8558) = 38916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 207/47,564/8558
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 207,564
Least Common Multiple of Numerators i.e. LCM of 207,564 is 38916.
GCF of Denominators means GCF of 47,8558 as per the given fractions.
GCF of 47,8558 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 207,564
3 | 207, 564 |
69, 188 |
∴ So the LCM of the given numbers is 3 x 69 x 188 = 38916
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 207,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,564) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,564) x common factors =3 x 1 = 3
LCM(207,564) = ( 207 × 564 ) / 3
LCM(207,564) = 116748 / 3
LCM(207,564) = 38916
Lets's calculate GCF of 47,8558
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38916/1
Therefore the LCM of Fractions 207/47,564/8558 is 38916
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 8558
List of positive integer factors of 8558 that divides 8558 without a remainder.
1,2,11,22,389,778,4279,8558
Greatest Common Factor
We found the factors 47,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 47,8558 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 207/47, 564/8558?
Answer: LCM of Numerators as per given numbers 207/47, 564/8558 is
LCM of Numerators i.e. for 207,564 is 38916
GCF of denominators i.e. for 47,8558 is 1.
Thus, LCM of Fractions is 38916.Finally, LCM of Fractions for 207/47, 564/8558 is 38916.