Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/78, 525/75, 570/161 quickly i.e. 1655850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/78, 525/75, 570/161 is 1655850.
LCM(581/78, 525/75, 570/161) = 1655850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/78,525/75,570/161
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 581,525,570
Least Common Multiple of Numerators i.e. LCM of 581,525,570 is 1655850.
GCF of Denominators means GCF of 78,75,161 as per the given fractions.
GCF of 78,75,161 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,525,570
3 | 581, 525, 570 |
5 | 581, 175, 190 |
7 | 581, 35, 38 |
83, 5, 38 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 83 x 5 x 38 = 1655850
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 581,525,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,525,570) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(581,525,570) x common factors =1 x 105 = 105
LCM(581,525,570) = ( 581 × 525 × 570 ) / 105
LCM(581,525,570) = 173864250 / 105
LCM(581,525,570) = 1655850
Lets's calculate GCF of 78,75,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1655850/1
Therefore the LCM of Fractions 581/78,525/75,570/161 is 1655850
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 78,75,161 . The biggest common factor number is the GCF number.
So the greatest common factor 78,75,161 is 1.
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 581/78, 525/75, 570/161?
Answer: LCM of Numerators as per given numbers 581/78, 525/75, 570/161 is
LCM of Numerators i.e. for 581,525,570 is 1655850
GCF of denominators i.e. for 78,75,161 is 1.
Thus, LCM of Fractions is 1655850.Finally, LCM of Fractions for 581/78, 525/75, 570/161 is 1655850.