Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/258, 425/627, 425/803 quickly i.e. 40800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/258, 425/627, 425/803 is 40800.
LCM(96/258, 425/627, 425/803) = 40800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/258,425/627,425/803
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 96,425,425
Least Common Multiple of Numerators i.e. LCM of 96,425,425 is 40800.
GCF of Denominators means GCF of 258,627,803 as per the given fractions.
GCF of 258,627,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,425,425
5 | 96, 425, 425 |
5 | 96, 85, 85 |
17 | 96, 17, 17 |
96, 1, 1 |
∴ So the LCM of the given numbers is 5 x 5 x 17 x 96 x 1 x 1 = 40800
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 96,425,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,425,425) = 1
common factors(in case of two or more numbers have common factors) = 425
GCF(96,425,425) x common factors =1 x 425 = 425
LCM(96,425,425) = ( 96 × 425 × 425 ) / 425
LCM(96,425,425) = 17340000 / 425
LCM(96,425,425) = 40800
Lets's calculate GCF of 258,627,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40800/1
Therefore the LCM of Fractions 96/258,425/627,425/803 is 40800
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 258,627,803 . The biggest common factor number is the GCF number.
So the greatest common factor 258,627,803 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 96/258, 425/627, 425/803?
Answer: LCM of Numerators as per given numbers 96/258, 425/627, 425/803 is
LCM of Numerators i.e. for 96,425,425 is 40800
GCF of denominators i.e. for 258,627,803 is 1.
Thus, LCM of Fractions is 40800.Finally, LCM of Fractions for 96/258, 425/627, 425/803 is 40800.