Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/39, 25/124, 797/416 quickly i.e. 219175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/39, 25/124, 797/416 is 219175.
LCM(11/39, 25/124, 797/416) = 219175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/39,25/124,797/416
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 11,25,797
Least Common Multiple of Numerators i.e. LCM of 11,25,797 is 219175.
GCF of Denominators means GCF of 39,124,416 as per the given fractions.
GCF of 39,124,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,25,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 219175
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 11,25,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,25,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,25,797) x common factors =1 x 1 = 1
LCM(11,25,797) = ( 11 × 25 × 797 ) / 1
LCM(11,25,797) = 219175 / 1
LCM(11,25,797) = 219175
Lets's calculate GCF of 39,124,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219175/1
Therefore the LCM of Fractions 11/39,25/124,797/416 is 219175
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 39,124,416 . The biggest common factor number is the GCF number.
So the greatest common factor 39,124,416 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 11/39, 25/124, 797/416?
Answer: LCM of Numerators as per given numbers 11/39, 25/124, 797/416 is
LCM of Numerators i.e. for 11,25,797 is 219175
GCF of denominators i.e. for 39,124,416 is 1.
Thus, LCM of Fractions is 219175.Finally, LCM of Fractions for 11/39, 25/124, 797/416 is 219175.