Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/92, 9789/321 quickly i.e. 3954756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/92, 9789/321 is 3954756.
LCM(404/92, 9789/321) = 3954756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/92,9789/321
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 404,9789
Least Common Multiple of Numerators i.e. LCM of 404,9789 is 3954756.
GCF of Denominators means GCF of 92,321 as per the given fractions.
GCF of 92,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,9789
Given numbers has no common factors except 1. So, there LCM is their product i.e 3954756
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 404,9789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,9789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,9789) x common factors =1 x 1 = 1
LCM(404,9789) = ( 404 × 9789 ) / 1
LCM(404,9789) = 3954756 / 1
LCM(404,9789) = 3954756
Lets's calculate GCF of 92,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3954756/1
Therefore the LCM of Fractions 404/92,9789/321 is 3954756
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 92,321 . The biggest common factor number is the GCF number.
So the greatest common factor 92,321 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 404/92, 9789/321?
Answer: LCM of Numerators as per given numbers 404/92, 9789/321 is
LCM of Numerators i.e. for 404,9789 is 3954756
GCF of denominators i.e. for 92,321 is 1.
Thus, LCM of Fractions is 3954756.Finally, LCM of Fractions for 404/92, 9789/321 is 3954756.