Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/13, 187/47, 601/835 quickly i.e. 561935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/13, 187/47, 601/835 is 561935.
LCM(55/13, 187/47, 601/835) = 561935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/13,187/47,601/835
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 55,187,601
Least Common Multiple of Numerators i.e. LCM of 55,187,601 is 561935.
GCF of Denominators means GCF of 13,47,835 as per the given fractions.
GCF of 13,47,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,187,601
11 | 55, 187, 601 |
5, 17, 601 |
∴ So the LCM of the given numbers is 11 x 5 x 17 x 601 = 561935
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 55,187,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,187,601) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,187,601) x common factors =1 x 11 = 11
LCM(55,187,601) = ( 55 × 187 × 601 ) / 11
LCM(55,187,601) = 6181285 / 11
LCM(55,187,601) = 561935
Lets's calculate GCF of 13,47,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561935/1
Therefore the LCM of Fractions 55/13,187/47,601/835 is 561935
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 13,47,835 . The biggest common factor number is the GCF number.
So the greatest common factor 13,47,835 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 55/13, 187/47, 601/835?
Answer: LCM of Numerators as per given numbers 55/13, 187/47, 601/835 is
LCM of Numerators i.e. for 55,187,601 is 561935
GCF of denominators i.e. for 13,47,835 is 1.
Thus, LCM of Fractions is 561935.Finally, LCM of Fractions for 55/13, 187/47, 601/835 is 561935.