Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/125, 3514/775 quickly i.e. 291662/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/125, 3514/775 is 291662/25.
LCM(581/125, 3514/775) = 291662/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/125,3514/775
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 581,3514
Least Common Multiple of Numerators i.e. LCM of 581,3514 is 291662.
GCF of Denominators means GCF of 125,775 as per the given fractions.
GCF of 125,775 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,3514
7 | 581, 3514 |
83, 502 |
∴ So the LCM of the given numbers is 7 x 83 x 502 = 291662
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 581,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,3514) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,3514) x common factors =7 x 1 = 7
LCM(581,3514) = ( 581 × 3514 ) / 7
LCM(581,3514) = 2041634 / 7
LCM(581,3514) = 291662
Lets's calculate GCF of 125,775
5 | 125, 775 |
5 | 25, 155 |
5, 31 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291662/25
Therefore the LCM of Fractions 581/125,3514/775 is 291662/25
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 125,775 . The biggest common factor number is the GCF number.
So the greatest common factor 125,775 is 25.
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 581/125, 3514/775?
Answer: LCM of Numerators as per given numbers 581/125, 3514/775 is
LCM of Numerators i.e. for 581,3514 is 291662
GCF of denominators i.e. for 125,775 is 25.
Thus, LCM of Fractions is 291662/25.Finally, LCM of Fractions for 581/125, 3514/775 is 291662/25.