Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 415/550, 325/308 quickly i.e. 26975/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 415/550, 325/308 is 26975/22.
LCM(415/550, 325/308) = 26975/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 415/550,325/308
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 415,325
Least Common Multiple of Numerators i.e. LCM of 415,325 is 26975.
GCF of Denominators means GCF of 550,308 as per the given fractions.
GCF of 550,308 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 415,325
5 | 415, 325 |
83, 65 |
∴ So the LCM of the given numbers is 5 x 83 x 65 = 26975
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 415,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,325) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,325) x common factors =5 x 1 = 5
LCM(415,325) = ( 415 × 325 ) / 5
LCM(415,325) = 134875 / 5
LCM(415,325) = 26975
Lets's calculate GCF of 550,308
2 | 550, 308 |
11 | 275, 154 |
25, 14 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26975/22
Therefore the LCM of Fractions 415/550,325/308 is 26975/22
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 550,308 . The biggest common factor number is the GCF number.
So the greatest common factor 550,308 is 22.
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 415/550, 325/308?
Answer: LCM of Numerators as per given numbers 415/550, 325/308 is
LCM of Numerators i.e. for 415,325 is 26975
GCF of denominators i.e. for 550,308 is 22.
Thus, LCM of Fractions is 26975/22.Finally, LCM of Fractions for 415/550, 325/308 is 26975/22.