Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/258, 225/621, 330/765 quickly i.e. 47850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/258, 225/621, 330/765 is 47850.
LCM(58/258, 225/621, 330/765) = 47850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/258,225/621,330/765
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 58,225,330
Least Common Multiple of Numerators i.e. LCM of 58,225,330 is 143550.
GCF of Denominators means GCF of 258,621,765 as per the given fractions.
GCF of 258,621,765 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,225,330
2 | 58, 225, 330 |
3 | 29, 225, 165 |
5 | 29, 75, 55 |
29, 15, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 15 x 11 = 143550
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 58,225,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,225,330) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(58,225,330) x common factors =1 x 30 = 30
LCM(58,225,330) = ( 58 × 225 × 330 ) / 30
LCM(58,225,330) = 4306500 / 30
LCM(58,225,330) = 143550
Lets's calculate GCF of 258,621,765
3 | 258, 621, 765 |
86, 207, 255 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143550/3
Therefore the LCM of Fractions 58/258,225/621,330/765 is 47850
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 258,621,765 . The biggest common factor number is the GCF number.
So the greatest common factor 258,621,765 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 58/258, 225/621, 330/765?
Answer: LCM of Numerators as per given numbers 58/258, 225/621, 330/765 is
LCM of Numerators i.e. for 58,225,330 is 143550
GCF of denominators i.e. for 258,621,765 is 3.
Thus, LCM of Fractions is 47850.Finally, LCM of Fractions for 58/258, 225/621, 330/765 is 47850.