Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/127, 87/225, 592/815 quickly i.e. 669552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/127, 87/225, 592/815 is 669552.
LCM(13/127, 87/225, 592/815) = 669552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/127,87/225,592/815
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 13,87,592
Least Common Multiple of Numerators i.e. LCM of 13,87,592 is 669552.
GCF of Denominators means GCF of 127,225,815 as per the given fractions.
GCF of 127,225,815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,87,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 669552
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 13,87,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,87,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,87,592) x common factors =1 x 1 = 1
LCM(13,87,592) = ( 13 × 87 × 592 ) / 1
LCM(13,87,592) = 669552 / 1
LCM(13,87,592) = 669552
Lets's calculate GCF of 127,225,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669552/1
Therefore the LCM of Fractions 13/127,87/225,592/815 is 669552
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 127,225,815 . The biggest common factor number is the GCF number.
So the greatest common factor 127,225,815 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 13/127, 87/225, 592/815?
Answer: LCM of Numerators as per given numbers 13/127, 87/225, 592/815 is
LCM of Numerators i.e. for 13,87,592 is 669552
GCF of denominators i.e. for 127,225,815 is 1.
Thus, LCM of Fractions is 669552.Finally, LCM of Fractions for 13/127, 87/225, 592/815 is 669552.