Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/481, 61/991, 900/585 quickly i.e. 2031300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/481, 61/991, 900/585 is 2031300.
LCM(74/481, 61/991, 900/585) = 2031300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/481,61/991,900/585
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 74,61,900
Least Common Multiple of Numerators i.e. LCM of 74,61,900 is 2031300.
GCF of Denominators means GCF of 481,991,585 as per the given fractions.
GCF of 481,991,585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,61,900
2 | 74, 61, 900 |
37, 61, 450 |
∴ So the LCM of the given numbers is 2 x 37 x 61 x 450 = 2031300
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 74,61,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,61,900) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,61,900) x common factors =1 x 2 = 2
LCM(74,61,900) = ( 74 × 61 × 900 ) / 2
LCM(74,61,900) = 4062600 / 2
LCM(74,61,900) = 2031300
Lets's calculate GCF of 481,991,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2031300/1
Therefore the LCM of Fractions 74/481,61/991,900/585 is 2031300
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 481,991,585 . The biggest common factor number is the GCF number.
So the greatest common factor 481,991,585 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 74/481, 61/991, 900/585?
Answer: LCM of Numerators as per given numbers 74/481, 61/991, 900/585 is
LCM of Numerators i.e. for 74,61,900 is 2031300
GCF of denominators i.e. for 481,991,585 is 1.
Thus, LCM of Fractions is 2031300.Finally, LCM of Fractions for 74/481, 61/991, 900/585 is 2031300.