Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/582, 472/91, 603/660 quickly i.e. 1423080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/582, 472/91, 603/660 is 1423080.
LCM(40/582, 472/91, 603/660) = 1423080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/582,472/91,603/660
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 40,472,603
Least Common Multiple of Numerators i.e. LCM of 40,472,603 is 1423080.
GCF of Denominators means GCF of 582,91,660 as per the given fractions.
GCF of 582,91,660 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,472,603
2 | 40, 472, 603 |
2 | 20, 236, 603 |
2 | 10, 118, 603 |
5, 59, 603 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 59 x 603 = 1423080
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 40,472,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,472,603) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(40,472,603) x common factors =1 x 8 = 8
LCM(40,472,603) = ( 40 × 472 × 603 ) / 8
LCM(40,472,603) = 11384640 / 8
LCM(40,472,603) = 1423080
Lets's calculate GCF of 582,91,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1423080/1
Therefore the LCM of Fractions 40/582,472/91,603/660 is 1423080
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 582,91,660 . The biggest common factor number is the GCF number.
So the greatest common factor 582,91,660 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 40/582, 472/91, 603/660?
Answer: LCM of Numerators as per given numbers 40/582, 472/91, 603/660 is
LCM of Numerators i.e. for 40,472,603 is 1423080
GCF of denominators i.e. for 582,91,660 is 1.
Thus, LCM of Fractions is 1423080.Finally, LCM of Fractions for 40/582, 472/91, 603/660 is 1423080.