Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/703, 80/915, 249/197 quickly i.e. 19920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/703, 80/915, 249/197 is 19920.
LCM(80/703, 80/915, 249/197) = 19920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/703,80/915,249/197
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 80,80,249
Least Common Multiple of Numerators i.e. LCM of 80,80,249 is 19920.
GCF of Denominators means GCF of 703,915,197 as per the given fractions.
GCF of 703,915,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,80,249
2 | 80, 80, 249 |
2 | 40, 40, 249 |
2 | 20, 20, 249 |
2 | 10, 10, 249 |
5 | 5, 5, 249 |
1, 1, 249 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 1 x 249 = 19920
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 80,80,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,80,249) = 1
common factors(in case of two or more numbers have common factors) = 80
GCF(80,80,249) x common factors =1 x 80 = 80
LCM(80,80,249) = ( 80 × 80 × 249 ) / 80
LCM(80,80,249) = 1593600 / 80
LCM(80,80,249) = 19920
Lets's calculate GCF of 703,915,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19920/1
Therefore the LCM of Fractions 80/703,80/915,249/197 is 19920
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 703,915,197 . The biggest common factor number is the GCF number.
So the greatest common factor 703,915,197 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 80/703, 80/915, 249/197?
Answer: LCM of Numerators as per given numbers 80/703, 80/915, 249/197 is
LCM of Numerators i.e. for 80,80,249 is 19920
GCF of denominators i.e. for 703,915,197 is 1.
Thus, LCM of Fractions is 19920.Finally, LCM of Fractions for 80/703, 80/915, 249/197 is 19920.