Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/16, 680/89, 168/719 quickly i.e. 14280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/16, 680/89, 168/719 is 14280.
LCM(15/16, 680/89, 168/719) = 14280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/16,680/89,168/719
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 15,680,168
Least Common Multiple of Numerators i.e. LCM of 15,680,168 is 14280.
GCF of Denominators means GCF of 16,89,719 as per the given fractions.
GCF of 16,89,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,680,168
2 | 15, 680, 168 |
2 | 15, 340, 84 |
2 | 15, 170, 42 |
3 | 15, 85, 21 |
5 | 5, 85, 7 |
1, 17, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 17 x 7 = 14280
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 15,680,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,680,168) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(15,680,168) x common factors =1 x 120 = 120
LCM(15,680,168) = ( 15 × 680 × 168 ) / 120
LCM(15,680,168) = 1713600 / 120
LCM(15,680,168) = 14280
Lets's calculate GCF of 16,89,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/1
Therefore the LCM of Fractions 15/16,680/89,168/719 is 14280
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 16,89,719 . The biggest common factor number is the GCF number.
So the greatest common factor 16,89,719 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 15/16, 680/89, 168/719?
Answer: LCM of Numerators as per given numbers 15/16, 680/89, 168/719 is
LCM of Numerators i.e. for 15,680,168 is 14280
GCF of denominators i.e. for 16,89,719 is 1.
Thus, LCM of Fractions is 14280.Finally, LCM of Fractions for 15/16, 680/89, 168/719 is 14280.