Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/80, 209/55, 798/699 quickly i.e. 114114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/80, 209/55, 798/699 is 114114.
LCM(13/80, 209/55, 798/699) = 114114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/80,209/55,798/699
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 13,209,798
Least Common Multiple of Numerators i.e. LCM of 13,209,798 is 114114.
GCF of Denominators means GCF of 80,55,699 as per the given fractions.
GCF of 80,55,699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,209,798
19 | 13, 209, 798 |
13, 11, 42 |
∴ So the LCM of the given numbers is 19 x 13 x 11 x 42 = 114114
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 13,209,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,209,798) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(13,209,798) x common factors =1 x 19 = 19
LCM(13,209,798) = ( 13 × 209 × 798 ) / 19
LCM(13,209,798) = 2168166 / 19
LCM(13,209,798) = 114114
Lets's calculate GCF of 80,55,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114114/1
Therefore the LCM of Fractions 13/80,209/55,798/699 is 114114
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 80,55,699 . The biggest common factor number is the GCF number.
So the greatest common factor 80,55,699 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 13/80, 209/55, 798/699?
Answer: LCM of Numerators as per given numbers 13/80, 209/55, 798/699 is
LCM of Numerators i.e. for 13,209,798 is 114114
GCF of denominators i.e. for 80,55,699 is 1.
Thus, LCM of Fractions is 114114.Finally, LCM of Fractions for 13/80, 209/55, 798/699 is 114114.