Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 514/147, 8061/393 quickly i.e. 1381118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 514/147, 8061/393 is 1381118.
LCM(514/147, 8061/393) = 1381118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 514/147,8061/393
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 514,8061
Least Common Multiple of Numerators i.e. LCM of 514,8061 is 4143354.
GCF of Denominators means GCF of 147,393 as per the given fractions.
GCF of 147,393 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 514,8061
Given numbers has no common factors except 1. So, there LCM is their product i.e 4143354
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 514,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,8061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,8061) x common factors =1 x 1 = 1
LCM(514,8061) = ( 514 × 8061 ) / 1
LCM(514,8061) = 4143354 / 1
LCM(514,8061) = 4143354
Lets's calculate GCF of 147,393
3 | 147, 393 |
49, 131 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4143354/3
Therefore the LCM of Fractions 514/147,8061/393 is 1381118
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 147,393 . The biggest common factor number is the GCF number.
So the greatest common factor 147,393 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 514/147, 8061/393?
Answer: LCM of Numerators as per given numbers 514/147, 8061/393 is
LCM of Numerators i.e. for 514,8061 is 4143354
GCF of denominators i.e. for 147,393 is 3.
Thus, LCM of Fractions is 1381118.Finally, LCM of Fractions for 514/147, 8061/393 is 1381118.