Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 463/82, 877/74, 498/194 quickly i.e. 101106699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 463/82, 877/74, 498/194 is 101106699.
LCM(463/82, 877/74, 498/194) = 101106699
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 463/82,877/74,498/194
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 463,877,498
Least Common Multiple of Numerators i.e. LCM of 463,877,498 is 202213398.
GCF of Denominators means GCF of 82,74,194 as per the given fractions.
GCF of 82,74,194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 463,877,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 202213398
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 463,877,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,877,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,877,498) x common factors =1 x 1 = 1
LCM(463,877,498) = ( 463 × 877 × 498 ) / 1
LCM(463,877,498) = 202213398 / 1
LCM(463,877,498) = 202213398
Lets's calculate GCF of 82,74,194
2 | 82, 74, 194 |
41, 37, 97 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202213398/2
Therefore the LCM of Fractions 463/82,877/74,498/194 is 101106699
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 82,74,194 . The biggest common factor number is the GCF number.
So the greatest common factor 82,74,194 is 2.
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 463/82, 877/74, 498/194?
Answer: LCM of Numerators as per given numbers 463/82, 877/74, 498/194 is
LCM of Numerators i.e. for 463,877,498 is 202213398
GCF of denominators i.e. for 82,74,194 is 2.
Thus, LCM of Fractions is 101106699.Finally, LCM of Fractions for 463/82, 877/74, 498/194 is 101106699.