Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8055/132, 5115/605 quickly i.e. 249705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8055/132, 5115/605 is 249705.
LCM(8055/132, 5115/605) = 249705
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8055/132,5115/605
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 8055,5115
Least Common Multiple of Numerators i.e. LCM of 8055,5115 is 2746755.
GCF of Denominators means GCF of 132,605 as per the given fractions.
GCF of 132,605 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8055,5115
3 | 8055, 5115 |
5 | 2685, 1705 |
537, 341 |
∴ So the LCM of the given numbers is 3 x 5 x 537 x 341 = 2746755
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 8055,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8055,5115) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(8055,5115) x common factors =15 x 1 = 15
LCM(8055,5115) = ( 8055 × 5115 ) / 15
LCM(8055,5115) = 41201325 / 15
LCM(8055,5115) = 2746755
Lets's calculate GCF of 132,605
11 | 132, 605 |
12, 55 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2746755/11
Therefore the LCM of Fractions 8055/132,5115/605 is 249705
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
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 132,605 . The biggest common factor number is the GCF number.
So the greatest common factor 132,605 is 11.
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 8055/132, 5115/605?
Answer: LCM of Numerators as per given numbers 8055/132, 5115/605 is
LCM of Numerators i.e. for 8055,5115 is 2746755
GCF of denominators i.e. for 132,605 is 11.
Thus, LCM of Fractions is 249705.Finally, LCM of Fractions for 8055/132, 5115/605 is 249705.