Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1521/905, 9325/4920 quickly i.e. 2836665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1521/905, 9325/4920 is 2836665.
LCM(1521/905, 9325/4920) = 2836665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1521/905,9325/4920
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 1521,9325
Least Common Multiple of Numerators i.e. LCM of 1521,9325 is 14183325.
GCF of Denominators means GCF of 905,4920 as per the given fractions.
GCF of 905,4920 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1521,9325
Given numbers has no common factors except 1. So, there LCM is their product i.e 14183325
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 1521,9325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1521,9325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1521,9325) x common factors =1 x 1 = 1
LCM(1521,9325) = ( 1521 × 9325 ) / 1
LCM(1521,9325) = 14183325 / 1
LCM(1521,9325) = 14183325
Lets's calculate GCF of 905,4920
5 | 905, 4920 |
181, 984 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14183325/5
Therefore the LCM of Fractions 1521/905,9325/4920 is 2836665
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 4920
List of positive integer factors of 4920 that divides 4920 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 905,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 905,4920 is 5.
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 1521/905, 9325/4920?
Answer: LCM of Numerators as per given numbers 1521/905, 9325/4920 is
LCM of Numerators i.e. for 1521,9325 is 14183325
GCF of denominators i.e. for 905,4920 is 5.
Thus, LCM of Fractions is 2836665.Finally, LCM of Fractions for 1521/905, 9325/4920 is 2836665.