Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/18, 70/403, 316/183 quickly i.e. 44240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/18, 70/403, 316/183 is 44240.
LCM(16/18, 70/403, 316/183) = 44240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/18,70/403,316/183
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 16,70,316
Least Common Multiple of Numerators i.e. LCM of 16,70,316 is 44240.
GCF of Denominators means GCF of 18,403,183 as per the given fractions.
GCF of 18,403,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,70,316
2 | 16, 70, 316 |
2 | 8, 35, 158 |
4, 35, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 35 x 79 = 44240
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 16,70,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,70,316) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(16,70,316) x common factors =2 x 4 = 8
LCM(16,70,316) = ( 16 × 70 × 316 ) / 8
LCM(16,70,316) = 353920 / 8
LCM(16,70,316) = 44240
Lets's calculate GCF of 18,403,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44240/1
Therefore the LCM of Fractions 16/18,70/403,316/183 is 44240
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 18,403,183 . The biggest common factor number is the GCF number.
So the greatest common factor 18,403,183 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 16/18, 70/403, 316/183?
Answer: LCM of Numerators as per given numbers 16/18, 70/403, 316/183 is
LCM of Numerators i.e. for 16,70,316 is 44240
GCF of denominators i.e. for 18,403,183 is 1.
Thus, LCM of Fractions is 44240.Finally, LCM of Fractions for 16/18, 70/403, 316/183 is 44240.