Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8484/247, 1257/2797 quickly i.e. 3554796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8484/247, 1257/2797 is 3554796.
LCM(8484/247, 1257/2797) = 3554796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8484/247,1257/2797
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 8484,1257
Least Common Multiple of Numerators i.e. LCM of 8484,1257 is 3554796.
GCF of Denominators means GCF of 247,2797 as per the given fractions.
GCF of 247,2797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8484,1257
3 | 8484, 1257 |
2828, 419 |
∴ So the LCM of the given numbers is 3 x 2828 x 419 = 3554796
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 8484,1257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8484,1257) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8484,1257) x common factors =3 x 1 = 3
LCM(8484,1257) = ( 8484 × 1257 ) / 3
LCM(8484,1257) = 10664388 / 3
LCM(8484,1257) = 3554796
Lets's calculate GCF of 247,2797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3554796/1
Therefore the LCM of Fractions 8484/247,1257/2797 is 3554796
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 2797
List of positive integer factors of 2797 that divides 2797 without a remainder.
1,2797
Greatest Common Factor
We found the factors 247,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 247,2797 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 8484/247, 1257/2797?
Answer: LCM of Numerators as per given numbers 8484/247, 1257/2797 is
LCM of Numerators i.e. for 8484,1257 is 3554796
GCF of denominators i.e. for 247,2797 is 1.
Thus, LCM of Fractions is 3554796.Finally, LCM of Fractions for 8484/247, 1257/2797 is 3554796.