Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 596/82, 996/90, 498/938 quickly i.e. 74202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 596/82, 996/90, 498/938 is 74202.
LCM(596/82, 996/90, 498/938) = 74202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 596/82,996/90,498/938
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 596,996,498
Least Common Multiple of Numerators i.e. LCM of 596,996,498 is 148404.
GCF of Denominators means GCF of 82,90,938 as per the given fractions.
GCF of 82,90,938 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 596,996,498
2 | 596, 996, 498 |
2 | 298, 498, 249 |
3 | 149, 249, 249 |
83 | 149, 83, 83 |
149, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 149 x 1 x 1 = 148404
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 596,996,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,996,498) = 2
common factors(in case of two or more numbers have common factors) = 996
GCF(596,996,498) x common factors =2 x 996 = 1992
LCM(596,996,498) = ( 596 × 996 × 498 ) / 1992
LCM(596,996,498) = 295620768 / 1992
LCM(596,996,498) = 148404
Lets's calculate GCF of 82,90,938
2 | 82, 90, 938 |
41, 45, 469 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148404/2
Therefore the LCM of Fractions 596/82,996/90,498/938 is 74202
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 82,90,938 . The biggest common factor number is the GCF number.
So the greatest common factor 82,90,938 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 596/82, 996/90, 498/938?
Answer: LCM of Numerators as per given numbers 596/82, 996/90, 498/938 is
LCM of Numerators i.e. for 596,996,498 is 148404
GCF of denominators i.e. for 82,90,938 is 2.
Thus, LCM of Fractions is 74202.Finally, LCM of Fractions for 596/82, 996/90, 498/938 is 74202.