Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/618, 6151/8277 quickly i.e. 153775/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/618, 6151/8277 is 153775/3.
LCM(25/618, 6151/8277) = 153775/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/618,6151/8277
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 25,6151
Least Common Multiple of Numerators i.e. LCM of 25,6151 is 153775.
GCF of Denominators means GCF of 618,8277 as per the given fractions.
GCF of 618,8277 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 153775
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 25,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,6151) x common factors =1 x 1 = 1
LCM(25,6151) = ( 25 × 6151 ) / 1
LCM(25,6151) = 153775 / 1
LCM(25,6151) = 153775
Lets's calculate GCF of 618,8277
3 | 618, 8277 |
206, 2759 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153775/3
Therefore the LCM of Fractions 25/618,6151/8277 is 153775/3
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 8277
List of positive integer factors of 8277 that divides 8277 without a remainder.
1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 618,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8277 is 3.
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 25/618, 6151/8277?
Answer: LCM of Numerators as per given numbers 25/618, 6151/8277 is
LCM of Numerators i.e. for 25,6151 is 153775
GCF of denominators i.e. for 618,8277 is 3.
Thus, LCM of Fractions is 153775/3.Finally, LCM of Fractions for 25/618, 6151/8277 is 153775/3.