Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/82, 697/50, 308/614 quickly i.e. 107338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/82, 697/50, 308/614 is 107338.
LCM(28/82, 697/50, 308/614) = 107338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/82,697/50,308/614
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 28,697,308
Least Common Multiple of Numerators i.e. LCM of 28,697,308 is 214676.
GCF of Denominators means GCF of 82,50,614 as per the given fractions.
GCF of 82,50,614 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,697,308
2 | 28, 697, 308 |
2 | 14, 697, 154 |
7 | 7, 697, 77 |
1, 697, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 697 x 11 = 214676
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 28,697,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,697,308) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,697,308) x common factors =1 x 28 = 28
LCM(28,697,308) = ( 28 × 697 × 308 ) / 28
LCM(28,697,308) = 6010928 / 28
LCM(28,697,308) = 214676
Lets's calculate GCF of 82,50,614
2 | 82, 50, 614 |
41, 25, 307 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214676/2
Therefore the LCM of Fractions 28/82,697/50,308/614 is 107338
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 82,50,614 . The biggest common factor number is the GCF number.
So the greatest common factor 82,50,614 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 28/82, 697/50, 308/614?
Answer: LCM of Numerators as per given numbers 28/82, 697/50, 308/614 is
LCM of Numerators i.e. for 28,697,308 is 214676
GCF of denominators i.e. for 82,50,614 is 2.
Thus, LCM of Fractions is 107338.Finally, LCM of Fractions for 28/82, 697/50, 308/614 is 107338.