Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/835, 43/609, 872/485 quickly i.e. 3262152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/835, 43/609, 872/485 is 3262152.
LCM(87/835, 43/609, 872/485) = 3262152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/835,43/609,872/485
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 87,43,872
Least Common Multiple of Numerators i.e. LCM of 87,43,872 is 3262152.
GCF of Denominators means GCF of 835,609,485 as per the given fractions.
GCF of 835,609,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,43,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 3262152
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 87,43,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,43,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,43,872) x common factors =1 x 1 = 1
LCM(87,43,872) = ( 87 × 43 × 872 ) / 1
LCM(87,43,872) = 3262152 / 1
LCM(87,43,872) = 3262152
Lets's calculate GCF of 835,609,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3262152/1
Therefore the LCM of Fractions 87/835,43/609,872/485 is 3262152
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 835,609,485 . The biggest common factor number is the GCF number.
So the greatest common factor 835,609,485 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 87/835, 43/609, 872/485?
Answer: LCM of Numerators as per given numbers 87/835, 43/609, 872/485 is
LCM of Numerators i.e. for 87,43,872 is 3262152
GCF of denominators i.e. for 835,609,485 is 1.
Thus, LCM of Fractions is 3262152.Finally, LCM of Fractions for 87/835, 43/609, 872/485 is 3262152.