Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/16, 77/382, 25/605 quickly i.e. 15400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/16, 77/382, 25/605 is 15400.
LCM(8/16, 77/382, 25/605) = 15400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/16,77/382,25/605
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 8,77,25
Least Common Multiple of Numerators i.e. LCM of 8,77,25 is 15400.
GCF of Denominators means GCF of 16,382,605 as per the given fractions.
GCF of 16,382,605 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,77,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 15400
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 8,77,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,77,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,77,25) x common factors =1 x 1 = 1
LCM(8,77,25) = ( 8 × 77 × 25 ) / 1
LCM(8,77,25) = 15400 / 1
LCM(8,77,25) = 15400
Lets's calculate GCF of 16,382,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15400/1
Therefore the LCM of Fractions 8/16,77/382,25/605 is 15400
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 16,382,605 . The biggest common factor number is the GCF number.
So the greatest common factor 16,382,605 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 8/16, 77/382, 25/605?
Answer: LCM of Numerators as per given numbers 8/16, 77/382, 25/605 is
LCM of Numerators i.e. for 8,77,25 is 15400
GCF of denominators i.e. for 16,382,605 is 1.
Thus, LCM of Fractions is 15400.Finally, LCM of Fractions for 8/16, 77/382, 25/605 is 15400.