Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/929, 71/534, 728/300 quickly i.e. 2119208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/929, 71/534, 728/300 is 2119208.
LCM(41/929, 71/534, 728/300) = 2119208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/929,71/534,728/300
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 41,71,728
Least Common Multiple of Numerators i.e. LCM of 41,71,728 is 2119208.
GCF of Denominators means GCF of 929,534,300 as per the given fractions.
GCF of 929,534,300 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,71,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 2119208
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 41,71,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,71,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,71,728) x common factors =1 x 1 = 1
LCM(41,71,728) = ( 41 × 71 × 728 ) / 1
LCM(41,71,728) = 2119208 / 1
LCM(41,71,728) = 2119208
Lets's calculate GCF of 929,534,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2119208/1
Therefore the LCM of Fractions 41/929,71/534,728/300 is 2119208
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 929,534,300 . The biggest common factor number is the GCF number.
So the greatest common factor 929,534,300 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 41/929, 71/534, 728/300?
Answer: LCM of Numerators as per given numbers 41/929, 71/534, 728/300 is
LCM of Numerators i.e. for 41,71,728 is 2119208
GCF of denominators i.e. for 929,534,300 is 1.
Thus, LCM of Fractions is 2119208.Finally, LCM of Fractions for 41/929, 71/534, 728/300 is 2119208.