Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9263/238, 3768/963 quickly i.e. 222312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9263/238, 3768/963 is 222312.
LCM(9263/238, 3768/963) = 222312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9263/238,3768/963
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 9263,3768
Least Common Multiple of Numerators i.e. LCM of 9263,3768 is 222312.
GCF of Denominators means GCF of 238,963 as per the given fractions.
GCF of 238,963 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9263,3768
157 | 9263, 3768 |
59, 24 |
∴ So the LCM of the given numbers is 157 x 59 x 24 = 222312
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 9263,3768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9263,3768) = 157
common factors(in case of two or more numbers have common factors) = 1
GCF(9263,3768) x common factors =157 x 1 = 157
LCM(9263,3768) = ( 9263 × 3768 ) / 157
LCM(9263,3768) = 34902984 / 157
LCM(9263,3768) = 222312
Lets's calculate GCF of 238,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222312/1
Therefore the LCM of Fractions 9263/238,3768/963 is 222312
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 238,963 . The biggest common factor number is the GCF number.
So the greatest common factor 238,963 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 9263/238, 3768/963?
Answer: LCM of Numerators as per given numbers 9263/238, 3768/963 is
LCM of Numerators i.e. for 9263,3768 is 222312
GCF of denominators i.e. for 238,963 is 1.
Thus, LCM of Fractions is 222312.Finally, LCM of Fractions for 9263/238, 3768/963 is 222312.