Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 352/17, 533/85, 314/368 quickly i.e. 29455712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 352/17, 533/85, 314/368 is 29455712.
LCM(352/17, 533/85, 314/368) = 29455712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 352/17,533/85,314/368
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 352,533,314
Least Common Multiple of Numerators i.e. LCM of 352,533,314 is 29455712.
GCF of Denominators means GCF of 17,85,368 as per the given fractions.
GCF of 17,85,368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 352,533,314
2 | 352, 533, 314 |
176, 533, 157 |
∴ So the LCM of the given numbers is 2 x 176 x 533 x 157 = 29455712
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 352,533,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,533,314) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(352,533,314) x common factors =1 x 2 = 2
LCM(352,533,314) = ( 352 × 533 × 314 ) / 2
LCM(352,533,314) = 58911424 / 2
LCM(352,533,314) = 29455712
Lets's calculate GCF of 17,85,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29455712/1
Therefore the LCM of Fractions 352/17,533/85,314/368 is 29455712
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 17,85,368 . The biggest common factor number is the GCF number.
So the greatest common factor 17,85,368 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 352/17, 533/85, 314/368?
Answer: LCM of Numerators as per given numbers 352/17, 533/85, 314/368 is
LCM of Numerators i.e. for 352,533,314 is 29455712
GCF of denominators i.e. for 17,85,368 is 1.
Thus, LCM of Fractions is 29455712.Finally, LCM of Fractions for 352/17, 533/85, 314/368 is 29455712.