Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/323, 43/682, 104/998 quickly i.e. 93912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/323, 43/682, 104/998 is 93912.
LCM(42/323, 43/682, 104/998) = 93912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/323,43/682,104/998
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 42,43,104
Least Common Multiple of Numerators i.e. LCM of 42,43,104 is 93912.
GCF of Denominators means GCF of 323,682,998 as per the given fractions.
GCF of 323,682,998 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,43,104
2 | 42, 43, 104 |
21, 43, 52 |
∴ So the LCM of the given numbers is 2 x 21 x 43 x 52 = 93912
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 42,43,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,43,104) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,43,104) x common factors =1 x 2 = 2
LCM(42,43,104) = ( 42 × 43 × 104 ) / 2
LCM(42,43,104) = 187824 / 2
LCM(42,43,104) = 93912
Lets's calculate GCF of 323,682,998
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93912/1
Therefore the LCM of Fractions 42/323,43/682,104/998 is 93912
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 323,682,998 . The biggest common factor number is the GCF number.
So the greatest common factor 323,682,998 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 42/323, 43/682, 104/998?
Answer: LCM of Numerators as per given numbers 42/323, 43/682, 104/998 is
LCM of Numerators i.e. for 42,43,104 is 93912
GCF of denominators i.e. for 323,682,998 is 1.
Thus, LCM of Fractions is 93912.Finally, LCM of Fractions for 42/323, 43/682, 104/998 is 93912.