Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8759/951, 9215/255 quickly i.e. 4248115/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8759/951, 9215/255 is 4248115/3.
LCM(8759/951, 9215/255) = 4248115/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8759/951,9215/255
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 8759,9215
Least Common Multiple of Numerators i.e. LCM of 8759,9215 is 4248115.
GCF of Denominators means GCF of 951,255 as per the given fractions.
GCF of 951,255 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8759,9215
19 | 8759, 9215 |
461, 485 |
∴ So the LCM of the given numbers is 19 x 461 x 485 = 4248115
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 8759,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8759,9215) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(8759,9215) x common factors =19 x 1 = 19
LCM(8759,9215) = ( 8759 × 9215 ) / 19
LCM(8759,9215) = 80714185 / 19
LCM(8759,9215) = 4248115
Lets's calculate GCF of 951,255
3 | 951, 255 |
317, 85 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4248115/3
Therefore the LCM of Fractions 8759/951,9215/255 is 4248115/3
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 951,255 . The biggest common factor number is the GCF number.
So the greatest common factor 951,255 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 8759/951, 9215/255?
Answer: LCM of Numerators as per given numbers 8759/951, 9215/255 is
LCM of Numerators i.e. for 8759,9215 is 4248115
GCF of denominators i.e. for 951,255 is 3.
Thus, LCM of Fractions is 4248115/3.Finally, LCM of Fractions for 8759/951, 9215/255 is 4248115/3.