Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 533/13, 378/73, 452/176 quickly i.e. 45533124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 533/13, 378/73, 452/176 is 45533124.
LCM(533/13, 378/73, 452/176) = 45533124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 533/13,378/73,452/176
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 533,378,452
Least Common Multiple of Numerators i.e. LCM of 533,378,452 is 45533124.
GCF of Denominators means GCF of 13,73,176 as per the given fractions.
GCF of 13,73,176 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 533,378,452
2 | 533, 378, 452 |
533, 189, 226 |
∴ So the LCM of the given numbers is 2 x 533 x 189 x 226 = 45533124
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 533,378,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,378,452) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(533,378,452) x common factors =1 x 2 = 2
LCM(533,378,452) = ( 533 × 378 × 452 ) / 2
LCM(533,378,452) = 91066248 / 2
LCM(533,378,452) = 45533124
Lets's calculate GCF of 13,73,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45533124/1
Therefore the LCM of Fractions 533/13,378/73,452/176 is 45533124
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 13,73,176 . The biggest common factor number is the GCF number.
So the greatest common factor 13,73,176 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 533/13, 378/73, 452/176?
Answer: LCM of Numerators as per given numbers 533/13, 378/73, 452/176 is
LCM of Numerators i.e. for 533,378,452 is 45533124
GCF of denominators i.e. for 13,73,176 is 1.
Thus, LCM of Fractions is 45533124.Finally, LCM of Fractions for 533/13, 378/73, 452/176 is 45533124.