Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/655, 38/694, 82/400 quickly i.e. 1558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/655, 38/694, 82/400 is 1558.
LCM(2/655, 38/694, 82/400) = 1558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/655,38/694,82/400
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 2,38,82
Least Common Multiple of Numerators i.e. LCM of 2,38,82 is 1558.
GCF of Denominators means GCF of 655,694,400 as per the given fractions.
GCF of 655,694,400 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,38,82
2 | 2, 38, 82 |
1, 19, 41 |
∴ So the LCM of the given numbers is 2 x 1 x 19 x 41 = 1558
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 2,38,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,38,82) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(2,38,82) x common factors =2 x 2 = 4
LCM(2,38,82) = ( 2 × 38 × 82 ) / 4
LCM(2,38,82) = 6232 / 4
LCM(2,38,82) = 1558
Lets's calculate GCF of 655,694,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1558/1
Therefore the LCM of Fractions 2/655,38/694,82/400 is 1558
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 655,694,400 . The biggest common factor number is the GCF number.
So the greatest common factor 655,694,400 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 2/655, 38/694, 82/400?
Answer: LCM of Numerators as per given numbers 2/655, 38/694, 82/400 is
LCM of Numerators i.e. for 2,38,82 is 1558
GCF of denominators i.e. for 655,694,400 is 1.
Thus, LCM of Fractions is 1558.Finally, LCM of Fractions for 2/655, 38/694, 82/400 is 1558.