Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/20, 92/99, 57/72, 93/498 quickly i.e. 162564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/20, 92/99, 57/72, 93/498 is 162564.
LCM(38/20, 92/99, 57/72, 93/498) = 162564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/20,92/99,57/72,93/498
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 38,92,57,93
Least Common Multiple of Numerators i.e. LCM of 38,92,57,93 is 162564.
GCF of Denominators means GCF of 20,99,72,498 as per the given fractions.
GCF of 20,99,72,498 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,92,57,93
2 | 38, 92, 57, 93 |
3 | 19, 46, 57, 93 |
19 | 19, 46, 19, 31 |
1, 46, 1, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 46 x 1 x 31 = 162564
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 38,92,57,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,92,57,93) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(38,92,57,93) x common factors =1 x 114 = 114
LCM(38,92,57,93) = ( 38 × 92 × 57 × 93 ) / 114
LCM(38,92,57,93) = 18532296 / 114
LCM(38,92,57,93) = 162564
Lets's calculate GCF of 20,99,72,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162564/1
Therefore the LCM of Fractions 38/20,92/99,57/72,93/498 is 162564
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 20,99,72,498 . The biggest common factor number is the GCF number.
So the greatest common factor 20,99,72,498 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 38/20, 92/99, 57/72, 93/498?
Answer: LCM of Numerators as per given numbers 38/20, 92/99, 57/72, 93/498 is
LCM of Numerators i.e. for 38,92,57,93 is 162564
GCF of denominators i.e. for 20,99,72,498 is 1.
Thus, LCM of Fractions is 162564.Finally, LCM of Fractions for 38/20, 92/99, 57/72, 93/498 is 162564.