Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/52, 993/45, 414/173 quickly i.e. 1096272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/52, 993/45, 414/173 is 1096272.
LCM(16/52, 993/45, 414/173) = 1096272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/52,993/45,414/173
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 16,993,414
Least Common Multiple of Numerators i.e. LCM of 16,993,414 is 1096272.
GCF of Denominators means GCF of 52,45,173 as per the given fractions.
GCF of 52,45,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,993,414
2 | 16, 993, 414 |
3 | 8, 993, 207 |
8, 331, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 331 x 69 = 1096272
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 16,993,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,993,414) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(16,993,414) x common factors =1 x 6 = 6
LCM(16,993,414) = ( 16 × 993 × 414 ) / 6
LCM(16,993,414) = 6577632 / 6
LCM(16,993,414) = 1096272
Lets's calculate GCF of 52,45,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096272/1
Therefore the LCM of Fractions 16/52,993/45,414/173 is 1096272
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 52,45,173 . The biggest common factor number is the GCF number.
So the greatest common factor 52,45,173 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 16/52, 993/45, 414/173?
Answer: LCM of Numerators as per given numbers 16/52, 993/45, 414/173 is
LCM of Numerators i.e. for 16,993,414 is 1096272
GCF of denominators i.e. for 52,45,173 is 1.
Thus, LCM of Fractions is 1096272.Finally, LCM of Fractions for 16/52, 993/45, 414/173 is 1096272.