Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/72, 90/83, 468/52 quickly i.e. 44460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/72, 90/83, 468/52 is 44460.
LCM(19/72, 90/83, 468/52) = 44460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/72,90/83,468/52
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 19,90,468
Least Common Multiple of Numerators i.e. LCM of 19,90,468 is 44460.
GCF of Denominators means GCF of 72,83,52 as per the given fractions.
GCF of 72,83,52 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,90,468
2 | 19, 90, 468 |
3 | 19, 45, 234 |
3 | 19, 15, 78 |
19, 5, 26 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 5 x 26 = 44460
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 19,90,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,90,468) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(19,90,468) x common factors =1 x 18 = 18
LCM(19,90,468) = ( 19 × 90 × 468 ) / 18
LCM(19,90,468) = 800280 / 18
LCM(19,90,468) = 44460
Lets's calculate GCF of 72,83,52
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44460/1
Therefore the LCM of Fractions 19/72,90/83,468/52 is 44460
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 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 72,83,52 . The biggest common factor number is the GCF number.
So the greatest common factor 72,83,52 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 19/72, 90/83, 468/52?
Answer: LCM of Numerators as per given numbers 19/72, 90/83, 468/52 is
LCM of Numerators i.e. for 19,90,468 is 44460
GCF of denominators i.e. for 72,83,52 is 1.
Thus, LCM of Fractions is 44460.Finally, LCM of Fractions for 19/72, 90/83, 468/52 is 44460.