Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/98, 57/82, 54/52, 88/303 quickly i.e. 45144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/98, 57/82, 54/52, 88/303 is 45144.
LCM(18/98, 57/82, 54/52, 88/303) = 45144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/98,57/82,54/52,88/303
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 18,57,54,88
Least Common Multiple of Numerators i.e. LCM of 18,57,54,88 is 45144.
GCF of Denominators means GCF of 98,82,52,303 as per the given fractions.
GCF of 98,82,52,303 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,57,54,88
2 | 18, 57, 54, 88 |
3 | 9, 57, 27, 44 |
3 | 3, 19, 9, 44 |
1, 19, 3, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 19 x 3 x 44 = 45144
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 18,57,54,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,57,54,88) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(18,57,54,88) x common factors =1 x 108 = 108
LCM(18,57,54,88) = ( 18 × 57 × 54 × 88 ) / 108
LCM(18,57,54,88) = 4875552 / 108
LCM(18,57,54,88) = 45144
Lets's calculate GCF of 98,82,52,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45144/1
Therefore the LCM of Fractions 18/98,57/82,54/52,88/303 is 45144
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 98,82,52,303 . The biggest common factor number is the GCF number.
So the greatest common factor 98,82,52,303 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 18/98, 57/82, 54/52, 88/303?
Answer: LCM of Numerators as per given numbers 18/98, 57/82, 54/52, 88/303 is
LCM of Numerators i.e. for 18,57,54,88 is 45144
GCF of denominators i.e. for 98,82,52,303 is 1.
Thus, LCM of Fractions is 45144.Finally, LCM of Fractions for 18/98, 57/82, 54/52, 88/303 is 45144.