Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 646/992, 4233/9195 quickly i.e. 160854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 646/992, 4233/9195 is 160854.
LCM(646/992, 4233/9195) = 160854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 646/992,4233/9195
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 646,4233
Least Common Multiple of Numerators i.e. LCM of 646,4233 is 160854.
GCF of Denominators means GCF of 992,9195 as per the given fractions.
GCF of 992,9195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 646,4233
17 | 646, 4233 |
38, 249 |
∴ So the LCM of the given numbers is 17 x 38 x 249 = 160854
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 646,4233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,4233) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(646,4233) x common factors =17 x 1 = 17
LCM(646,4233) = ( 646 × 4233 ) / 17
LCM(646,4233) = 2734518 / 17
LCM(646,4233) = 160854
Lets's calculate GCF of 992,9195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160854/1
Therefore the LCM of Fractions 646/992,4233/9195 is 160854
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 9195
List of positive integer factors of 9195 that divides 9195 without a remainder.
1,3,5,15,613,1839,3065,9195
Greatest Common Factor
We found the factors 992,9195 . The biggest common factor number is the GCF number.
So the greatest common factor 992,9195 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 646/992, 4233/9195?
Answer: LCM of Numerators as per given numbers 646/992, 4233/9195 is
LCM of Numerators i.e. for 646,4233 is 160854
GCF of denominators i.e. for 992,9195 is 1.
Thus, LCM of Fractions is 160854.Finally, LCM of Fractions for 646/992, 4233/9195 is 160854.