Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/486, 20/611, 176/626 quickly i.e. 2640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/486, 20/611, 176/626 is 2640.
LCM(30/486, 20/611, 176/626) = 2640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/486,20/611,176/626
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 30,20,176
Least Common Multiple of Numerators i.e. LCM of 30,20,176 is 2640.
GCF of Denominators means GCF of 486,611,626 as per the given fractions.
GCF of 486,611,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,20,176
2 | 30, 20, 176 |
2 | 15, 10, 88 |
5 | 15, 5, 44 |
3, 1, 44 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 1 x 44 = 2640
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 30,20,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,20,176) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(30,20,176) x common factors =2 x 20 = 40
LCM(30,20,176) = ( 30 × 20 × 176 ) / 40
LCM(30,20,176) = 105600 / 40
LCM(30,20,176) = 2640
Lets's calculate GCF of 486,611,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2640/1
Therefore the LCM of Fractions 30/486,20/611,176/626 is 2640
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 486,611,626 . The biggest common factor number is the GCF number.
So the greatest common factor 486,611,626 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 30/486, 20/611, 176/626?
Answer: LCM of Numerators as per given numbers 30/486, 20/611, 176/626 is
LCM of Numerators i.e. for 30,20,176 is 2640
GCF of denominators i.e. for 486,611,626 is 1.
Thus, LCM of Fractions is 2640.Finally, LCM of Fractions for 30/486, 20/611, 176/626 is 2640.