Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/446, 29/574, 975/698 quickly i.e. 876525/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/446, 29/574, 975/698 is 876525/2.
LCM(31/446, 29/574, 975/698) = 876525/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/446,29/574,975/698
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 31,29,975
Least Common Multiple of Numerators i.e. LCM of 31,29,975 is 876525.
GCF of Denominators means GCF of 446,574,698 as per the given fractions.
GCF of 446,574,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,29,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 876525
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 31,29,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,29,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,29,975) x common factors =1 x 1 = 1
LCM(31,29,975) = ( 31 × 29 × 975 ) / 1
LCM(31,29,975) = 876525 / 1
LCM(31,29,975) = 876525
Lets's calculate GCF of 446,574,698
2 | 446, 574, 698 |
223, 287, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876525/2
Therefore the LCM of Fractions 31/446,29/574,975/698 is 876525/2
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 446,574,698 . The biggest common factor number is the GCF number.
So the greatest common factor 446,574,698 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 31/446, 29/574, 975/698?
Answer: LCM of Numerators as per given numbers 31/446, 29/574, 975/698 is
LCM of Numerators i.e. for 31,29,975 is 876525
GCF of denominators i.e. for 446,574,698 is 2.
Thus, LCM of Fractions is 876525/2.Finally, LCM of Fractions for 31/446, 29/574, 975/698 is 876525/2.