Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5886/633, 8635/7785 quickly i.e. 16941870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5886/633, 8635/7785 is 16941870.
LCM(5886/633, 8635/7785) = 16941870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5886/633,8635/7785
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 5886,8635
Least Common Multiple of Numerators i.e. LCM of 5886,8635 is 50825610.
GCF of Denominators means GCF of 633,7785 as per the given fractions.
GCF of 633,7785 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5886,8635
Given numbers has no common factors except 1. So, there LCM is their product i.e 50825610
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 5886,8635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5886,8635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5886,8635) x common factors =1 x 1 = 1
LCM(5886,8635) = ( 5886 × 8635 ) / 1
LCM(5886,8635) = 50825610 / 1
LCM(5886,8635) = 50825610
Lets's calculate GCF of 633,7785
3 | 633, 7785 |
211, 2595 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50825610/3
Therefore the LCM of Fractions 5886/633,8635/7785 is 16941870
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 7785
List of positive integer factors of 7785 that divides 7785 without a remainder.
1,3,5,9,15,45,173,519,865,1557,2595,7785
Greatest Common Factor
We found the factors 633,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 633,7785 is 3.
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 5886/633, 8635/7785?
Answer: LCM of Numerators as per given numbers 5886/633, 8635/7785 is
LCM of Numerators i.e. for 5886,8635 is 50825610
GCF of denominators i.e. for 633,7785 is 3.
Thus, LCM of Fractions is 16941870.Finally, LCM of Fractions for 5886/633, 8635/7785 is 16941870.