Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/406, 30/582, 96/450 quickly i.e. 1680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/406, 30/582, 96/450 is 1680.
LCM(7/406, 30/582, 96/450) = 1680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/406,30/582,96/450
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 7,30,96
Least Common Multiple of Numerators i.e. LCM of 7,30,96 is 3360.
GCF of Denominators means GCF of 406,582,450 as per the given fractions.
GCF of 406,582,450 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,30,96
2 | 7, 30, 96 |
3 | 7, 15, 48 |
7, 5, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 16 = 3360
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 7,30,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,30,96) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(7,30,96) x common factors =1 x 6 = 6
LCM(7,30,96) = ( 7 × 30 × 96 ) / 6
LCM(7,30,96) = 20160 / 6
LCM(7,30,96) = 3360
Lets's calculate GCF of 406,582,450
2 | 406, 582, 450 |
203, 291, 225 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/2
Therefore the LCM of Fractions 7/406,30/582,96/450 is 1680
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
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 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 406,582,450 . The biggest common factor number is the GCF number.
So the greatest common factor 406,582,450 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 7/406, 30/582, 96/450?
Answer: LCM of Numerators as per given numbers 7/406, 30/582, 96/450 is
LCM of Numerators i.e. for 7,30,96 is 3360
GCF of denominators i.e. for 406,582,450 is 2.
Thus, LCM of Fractions is 1680.Finally, LCM of Fractions for 7/406, 30/582, 96/450 is 1680.