Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/16, 14/13, 35/38, 56/810 quickly i.e. 560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/16, 14/13, 35/38, 56/810 is 560.
LCM(16/16, 14/13, 35/38, 56/810) = 560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/16,14/13,35/38,56/810
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 16,14,35,56
Least Common Multiple of Numerators i.e. LCM of 16,14,35,56 is 560.
GCF of Denominators means GCF of 16,13,38,810 as per the given fractions.
GCF of 16,13,38,810 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,14,35,56
2 | 16, 14, 35, 56 |
2 | 8, 7, 35, 28 |
2 | 4, 7, 35, 14 |
7 | 2, 7, 35, 7 |
2, 1, 5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 2 x 1 x 5 x 1 = 560
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 16,14,35,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,14,35,56) = 1
common factors(in case of two or more numbers have common factors) = 784
GCF(16,14,35,56) x common factors =1 x 784 = 784
LCM(16,14,35,56) = ( 16 × 14 × 35 × 56 ) / 784
LCM(16,14,35,56) = 439040 / 784
LCM(16,14,35,56) = 560
Lets's calculate GCF of 16,13,38,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560/1
Therefore the LCM of Fractions 16/16,14/13,35/38,56/810 is 560
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 16,13,38,810 . The biggest common factor number is the GCF number.
So the greatest common factor 16,13,38,810 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 16/16, 14/13, 35/38, 56/810?
Answer: LCM of Numerators as per given numbers 16/16, 14/13, 35/38, 56/810 is
LCM of Numerators i.e. for 16,14,35,56 is 560
GCF of denominators i.e. for 16,13,38,810 is 1.
Thus, LCM of Fractions is 560.Finally, LCM of Fractions for 16/16, 14/13, 35/38, 56/810 is 560.