Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3833/645, 9956/973 quickly i.e. 38161348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3833/645, 9956/973 is 38161348.
LCM(3833/645, 9956/973) = 38161348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3833/645,9956/973
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 3833,9956
Least Common Multiple of Numerators i.e. LCM of 3833,9956 is 38161348.
GCF of Denominators means GCF of 645,973 as per the given fractions.
GCF of 645,973 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3833,9956
Given numbers has no common factors except 1. So, there LCM is their product i.e 38161348
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 3833,9956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3833,9956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3833,9956) x common factors =1 x 1 = 1
LCM(3833,9956) = ( 3833 × 9956 ) / 1
LCM(3833,9956) = 38161348 / 1
LCM(3833,9956) = 38161348
Lets's calculate GCF of 645,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38161348/1
Therefore the LCM of Fractions 3833/645,9956/973 is 38161348
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 645,973 . The biggest common factor number is the GCF number.
So the greatest common factor 645,973 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 3833/645, 9956/973?
Answer: LCM of Numerators as per given numbers 3833/645, 9956/973 is
LCM of Numerators i.e. for 3833,9956 is 38161348
GCF of denominators i.e. for 645,973 is 1.
Thus, LCM of Fractions is 38161348.Finally, LCM of Fractions for 3833/645, 9956/973 is 38161348.