Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3803/915, 5573/2553 quickly i.e. 21194119/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3803/915, 5573/2553 is 21194119/3.
LCM(3803/915, 5573/2553) = 21194119/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3803/915,5573/2553
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 3803,5573
Least Common Multiple of Numerators i.e. LCM of 3803,5573 is 21194119.
GCF of Denominators means GCF of 915,2553 as per the given fractions.
GCF of 915,2553 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3803,5573
Given numbers has no common factors except 1. So, there LCM is their product i.e 21194119
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 3803,5573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3803,5573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3803,5573) x common factors =1 x 1 = 1
LCM(3803,5573) = ( 3803 × 5573 ) / 1
LCM(3803,5573) = 21194119 / 1
LCM(3803,5573) = 21194119
Lets's calculate GCF of 915,2553
3 | 915, 2553 |
305, 851 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21194119/3
Therefore the LCM of Fractions 3803/915,5573/2553 is 21194119/3
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 2553
List of positive integer factors of 2553 that divides 2553 without a remainder.
1,3,23,37,69,111,851,2553
Greatest Common Factor
We found the factors 915,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 915,2553 is 3.
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 3803/915, 5573/2553?
Answer: LCM of Numerators as per given numbers 3803/915, 5573/2553 is
LCM of Numerators i.e. for 3803,5573 is 21194119
GCF of denominators i.e. for 915,2553 is 3.
Thus, LCM of Fractions is 21194119/3.Finally, LCM of Fractions for 3803/915, 5573/2553 is 21194119/3.