Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 682/262, 227/102, 896/425 quickly i.e. 69356672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 682/262, 227/102, 896/425 is 69356672.
LCM(682/262, 227/102, 896/425) = 69356672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 682/262,227/102,896/425
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 682,227,896
Least Common Multiple of Numerators i.e. LCM of 682,227,896 is 69356672.
GCF of Denominators means GCF of 262,102,425 as per the given fractions.
GCF of 262,102,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 682,227,896
2 | 682, 227, 896 |
341, 227, 448 |
∴ So the LCM of the given numbers is 2 x 341 x 227 x 448 = 69356672
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 682,227,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,227,896) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(682,227,896) x common factors =1 x 2 = 2
LCM(682,227,896) = ( 682 × 227 × 896 ) / 2
LCM(682,227,896) = 138713344 / 2
LCM(682,227,896) = 69356672
Lets's calculate GCF of 262,102,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69356672/1
Therefore the LCM of Fractions 682/262,227/102,896/425 is 69356672
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 262,102,425 . The biggest common factor number is the GCF number.
So the greatest common factor 262,102,425 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 682/262, 227/102, 896/425?
Answer: LCM of Numerators as per given numbers 682/262, 227/102, 896/425 is
LCM of Numerators i.e. for 682,227,896 is 69356672
GCF of denominators i.e. for 262,102,425 is 1.
Thus, LCM of Fractions is 69356672.Finally, LCM of Fractions for 682/262, 227/102, 896/425 is 69356672.