Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/625, 77/835, 561/361 quickly i.e. 3927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/625, 77/835, 561/361 is 3927.
LCM(17/625, 77/835, 561/361) = 3927
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/625,77/835,561/361
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 17,77,561
Least Common Multiple of Numerators i.e. LCM of 17,77,561 is 3927.
GCF of Denominators means GCF of 625,835,361 as per the given fractions.
GCF of 625,835,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,77,561
11 | 17, 77, 561 |
17 | 17, 7, 51 |
1, 7, 3 |
∴ So the LCM of the given numbers is 11 x 17 x 1 x 7 x 3 = 3927
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 17,77,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,77,561) = 1
common factors(in case of two or more numbers have common factors) = 187
GCF(17,77,561) x common factors =1 x 187 = 187
LCM(17,77,561) = ( 17 × 77 × 561 ) / 187
LCM(17,77,561) = 734349 / 187
LCM(17,77,561) = 3927
Lets's calculate GCF of 625,835,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3927/1
Therefore the LCM of Fractions 17/625,77/835,561/361 is 3927
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 625,835,361 . The biggest common factor number is the GCF number.
So the greatest common factor 625,835,361 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 17/625, 77/835, 561/361?
Answer: LCM of Numerators as per given numbers 17/625, 77/835, 561/361 is
LCM of Numerators i.e. for 17,77,561 is 3927
GCF of denominators i.e. for 625,835,361 is 1.
Thus, LCM of Fractions is 3927.Finally, LCM of Fractions for 17/625, 77/835, 561/361 is 3927.