Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/435, 46/529, 395/841 quickly i.e. 1580790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/435, 46/529, 395/841 is 1580790.
LCM(87/435, 46/529, 395/841) = 1580790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/435,46/529,395/841
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 87,46,395
Least Common Multiple of Numerators i.e. LCM of 87,46,395 is 1580790.
GCF of Denominators means GCF of 435,529,841 as per the given fractions.
GCF of 435,529,841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,46,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 1580790
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 87,46,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,46,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,46,395) x common factors =1 x 1 = 1
LCM(87,46,395) = ( 87 × 46 × 395 ) / 1
LCM(87,46,395) = 1580790 / 1
LCM(87,46,395) = 1580790
Lets's calculate GCF of 435,529,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580790/1
Therefore the LCM of Fractions 87/435,46/529,395/841 is 1580790
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 435,529,841 . The biggest common factor number is the GCF number.
So the greatest common factor 435,529,841 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 87/435, 46/529, 395/841?
Answer: LCM of Numerators as per given numbers 87/435, 46/529, 395/841 is
LCM of Numerators i.e. for 87,46,395 is 1580790
GCF of denominators i.e. for 435,529,841 is 1.
Thus, LCM of Fractions is 1580790.Finally, LCM of Fractions for 87/435, 46/529, 395/841 is 1580790.