Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 704/195, 238/380, 424/856 quickly i.e. 4440128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 704/195, 238/380, 424/856 is 4440128.
LCM(704/195, 238/380, 424/856) = 4440128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 704/195,238/380,424/856
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 704,238,424
Least Common Multiple of Numerators i.e. LCM of 704,238,424 is 4440128.
GCF of Denominators means GCF of 195,380,856 as per the given fractions.
GCF of 195,380,856 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 704,238,424
2 | 704, 238, 424 |
2 | 352, 119, 212 |
2 | 176, 119, 106 |
88, 119, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 119 x 53 = 4440128
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 704,238,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,238,424) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(704,238,424) x common factors =2 x 8 = 16
LCM(704,238,424) = ( 704 × 238 × 424 ) / 16
LCM(704,238,424) = 71042048 / 16
LCM(704,238,424) = 4440128
Lets's calculate GCF of 195,380,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4440128/1
Therefore the LCM of Fractions 704/195,238/380,424/856 is 4440128
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 195,380,856 . The biggest common factor number is the GCF number.
So the greatest common factor 195,380,856 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 704/195, 238/380, 424/856?
Answer: LCM of Numerators as per given numbers 704/195, 238/380, 424/856 is
LCM of Numerators i.e. for 704,238,424 is 4440128
GCF of denominators i.e. for 195,380,856 is 1.
Thus, LCM of Fractions is 4440128.Finally, LCM of Fractions for 704/195, 238/380, 424/856 is 4440128.