Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/302, 87/741, 193/462 quickly i.e. 1376862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/302, 87/741, 193/462 is 1376862.
LCM(82/302, 87/741, 193/462) = 1376862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/302,87/741,193/462
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 82,87,193
Least Common Multiple of Numerators i.e. LCM of 82,87,193 is 1376862.
GCF of Denominators means GCF of 302,741,462 as per the given fractions.
GCF of 302,741,462 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,87,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 1376862
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 82,87,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,87,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,87,193) x common factors =1 x 1 = 1
LCM(82,87,193) = ( 82 × 87 × 193 ) / 1
LCM(82,87,193) = 1376862 / 1
LCM(82,87,193) = 1376862
Lets's calculate GCF of 302,741,462
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1376862/1
Therefore the LCM of Fractions 82/302,87/741,193/462 is 1376862
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 302,741,462 . The biggest common factor number is the GCF number.
So the greatest common factor 302,741,462 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 82/302, 87/741, 193/462?
Answer: LCM of Numerators as per given numbers 82/302, 87/741, 193/462 is
LCM of Numerators i.e. for 82,87,193 is 1376862
GCF of denominators i.e. for 302,741,462 is 1.
Thus, LCM of Fractions is 1376862.Finally, LCM of Fractions for 82/302, 87/741, 193/462 is 1376862.