Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/16, 473/23, 170/682 quickly i.e. 80410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/16, 473/23, 170/682 is 80410.
LCM(17/16, 473/23, 170/682) = 80410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/16,473/23,170/682
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 17,473,170
Least Common Multiple of Numerators i.e. LCM of 17,473,170 is 80410.
GCF of Denominators means GCF of 16,23,682 as per the given fractions.
GCF of 16,23,682 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,473,170
17 | 17, 473, 170 |
1, 473, 10 |
∴ So the LCM of the given numbers is 17 x 1 x 473 x 10 = 80410
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 17,473,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,473,170) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(17,473,170) x common factors =1 x 17 = 17
LCM(17,473,170) = ( 17 × 473 × 170 ) / 17
LCM(17,473,170) = 1366970 / 17
LCM(17,473,170) = 80410
Lets's calculate GCF of 16,23,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80410/1
Therefore the LCM of Fractions 17/16,473/23,170/682 is 80410
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 16,23,682 . The biggest common factor number is the GCF number.
So the greatest common factor 16,23,682 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 17/16, 473/23, 170/682?
Answer: LCM of Numerators as per given numbers 17/16, 473/23, 170/682 is
LCM of Numerators i.e. for 17,473,170 is 80410
GCF of denominators i.e. for 16,23,682 is 1.
Thus, LCM of Fractions is 80410.Finally, LCM of Fractions for 17/16, 473/23, 170/682 is 80410.