Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/40, 439/62, 872/842 quickly i.e. 101252716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/40, 439/62, 872/842 is 101252716.
LCM(529/40, 439/62, 872/842) = 101252716
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/40,439/62,872/842
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 529,439,872
Least Common Multiple of Numerators i.e. LCM of 529,439,872 is 202505432.
GCF of Denominators means GCF of 40,62,842 as per the given fractions.
GCF of 40,62,842 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,439,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 202505432
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 529,439,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,439,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,439,872) x common factors =1 x 1 = 1
LCM(529,439,872) = ( 529 × 439 × 872 ) / 1
LCM(529,439,872) = 202505432 / 1
LCM(529,439,872) = 202505432
Lets's calculate GCF of 40,62,842
2 | 40, 62, 842 |
20, 31, 421 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202505432/2
Therefore the LCM of Fractions 529/40,439/62,872/842 is 101252716
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 40,62,842 . The biggest common factor number is the GCF number.
So the greatest common factor 40,62,842 is 2.
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 529/40, 439/62, 872/842?
Answer: LCM of Numerators as per given numbers 529/40, 439/62, 872/842 is
LCM of Numerators i.e. for 529,439,872 is 202505432
GCF of denominators i.e. for 40,62,842 is 2.
Thus, LCM of Fractions is 101252716.Finally, LCM of Fractions for 529/40, 439/62, 872/842 is 101252716.