Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3809/392, 5173/540 quickly i.e. 19703957/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3809/392, 5173/540 is 19703957/4.
LCM(3809/392, 5173/540) = 19703957/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3809/392,5173/540
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 3809,5173
Least Common Multiple of Numerators i.e. LCM of 3809,5173 is 19703957.
GCF of Denominators means GCF of 392,540 as per the given fractions.
GCF of 392,540 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3809,5173
Given numbers has no common factors except 1. So, there LCM is their product i.e 19703957
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 3809,5173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3809,5173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3809,5173) x common factors =1 x 1 = 1
LCM(3809,5173) = ( 3809 × 5173 ) / 1
LCM(3809,5173) = 19703957 / 1
LCM(3809,5173) = 19703957
Lets's calculate GCF of 392,540
2 | 392, 540 |
2 | 196, 270 |
98, 135 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19703957/4
Therefore the LCM of Fractions 3809/392,5173/540 is 19703957/4
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 392,540 . The biggest common factor number is the GCF number.
So the greatest common factor 392,540 is 4.
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 3809/392, 5173/540?
Answer: LCM of Numerators as per given numbers 3809/392, 5173/540 is
LCM of Numerators i.e. for 3809,5173 is 19703957
GCF of denominators i.e. for 392,540 is 4.
Thus, LCM of Fractions is 19703957/4.Finally, LCM of Fractions for 3809/392, 5173/540 is 19703957/4.