Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/177, 6615/1815 quickly i.e. 101430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/177, 6615/1815 is 101430.
LCM(46/177, 6615/1815) = 101430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/177,6615/1815
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 46,6615
Least Common Multiple of Numerators i.e. LCM of 46,6615 is 304290.
GCF of Denominators means GCF of 177,1815 as per the given fractions.
GCF of 177,1815 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,6615
Given numbers has no common factors except 1. So, there LCM is their product i.e 304290
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 46,6615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,6615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,6615) x common factors =1 x 1 = 1
LCM(46,6615) = ( 46 × 6615 ) / 1
LCM(46,6615) = 304290 / 1
LCM(46,6615) = 304290
Lets's calculate GCF of 177,1815
3 | 177, 1815 |
59, 605 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304290/3
Therefore the LCM of Fractions 46/177,6615/1815 is 101430
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 1815
List of positive integer factors of 1815 that divides 1815 without a remainder.
1,3,5,11,15,33,55,121,165,363,605,1815
Greatest Common Factor
We found the factors 177,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 177,1815 is 3.
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 46/177, 6615/1815?
Answer: LCM of Numerators as per given numbers 46/177, 6615/1815 is
LCM of Numerators i.e. for 46,6615 is 304290
GCF of denominators i.e. for 177,1815 is 3.
Thus, LCM of Fractions is 101430.Finally, LCM of Fractions for 46/177, 6615/1815 is 101430.