Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 418/85, 658/90, 665/675 quickly i.e. 137522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 418/85, 658/90, 665/675 is 137522.
LCM(418/85, 658/90, 665/675) = 137522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 418/85,658/90,665/675
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 418,658,665
Least Common Multiple of Numerators i.e. LCM of 418,658,665 is 687610.
GCF of Denominators means GCF of 85,90,675 as per the given fractions.
GCF of 85,90,675 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 418,658,665
2 | 418, 658, 665 |
7 | 209, 329, 665 |
19 | 209, 47, 95 |
11, 47, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 19 x 11 x 47 x 5 = 687610
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 418,658,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,658,665) = 1
common factors(in case of two or more numbers have common factors) = 266
GCF(418,658,665) x common factors =1 x 266 = 266
LCM(418,658,665) = ( 418 × 658 × 665 ) / 266
LCM(418,658,665) = 182904260 / 266
LCM(418,658,665) = 687610
Lets's calculate GCF of 85,90,675
5 | 85, 90, 675 |
17, 18, 135 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 687610/5
Therefore the LCM of Fractions 418/85,658/90,665/675 is 137522
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 85,90,675 . The biggest common factor number is the GCF number.
So the greatest common factor 85,90,675 is 5.
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 418/85, 658/90, 665/675?
Answer: LCM of Numerators as per given numbers 418/85, 658/90, 665/675 is
LCM of Numerators i.e. for 418,658,665 is 687610
GCF of denominators i.e. for 85,90,675 is 5.
Thus, LCM of Fractions is 137522.Finally, LCM of Fractions for 418/85, 658/90, 665/675 is 137522.