Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/450, 90/255 quickly i.e. 258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/450, 90/255 is 258.
LCM(86/450, 90/255) = 258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/450,90/255
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 86,90
Least Common Multiple of Numerators i.e. LCM of 86,90 is 3870.
GCF of Denominators means GCF of 450,255 as per the given fractions.
GCF of 450,255 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,90
2 | 86, 90 |
43, 45 |
∴ So the LCM of the given numbers is 2 x 43 x 45 = 3870
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 86,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,90) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,90) x common factors =2 x 1 = 2
LCM(86,90) = ( 86 × 90 ) / 2
LCM(86,90) = 7740 / 2
LCM(86,90) = 3870
Lets's calculate GCF of 450,255
3 | 450, 255 |
5 | 150, 85 |
30, 17 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3870/15
Therefore the LCM of Fractions 86/450,90/255 is 258
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 450,255 . The biggest common factor number is the GCF number.
So the greatest common factor 450,255 is 15.
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 86/450, 90/255?
Answer: LCM of Numerators as per given numbers 86/450, 90/255 is
LCM of Numerators i.e. for 86,90 is 3870
GCF of denominators i.e. for 450,255 is 15.
Thus, LCM of Fractions is 258.Finally, LCM of Fractions for 86/450, 90/255 is 258.