Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/951, 8577/951 quickly i.e. 7993764/951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/951, 8577/951 is 7993764/951.
LCM(932/951, 8577/951) = 7993764/951
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/951,8577/951
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 932,8577
Least Common Multiple of Numerators i.e. LCM of 932,8577 is 7993764.
GCF of Denominators means GCF of 951,951 as per the given fractions.
GCF of 951,951 is 951 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,8577
Given numbers has no common factors except 1. So, there LCM is their product i.e 7993764
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 932,8577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,8577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,8577) x common factors =1 x 1 = 1
LCM(932,8577) = ( 932 × 8577 ) / 1
LCM(932,8577) = 7993764 / 1
LCM(932,8577) = 7993764
Lets's calculate GCF of 951,951
3 | 951, 951 |
317 | 317, 317 |
1, 1 |
∴ So the GCF of the given numbers is 3 x 317 = 951
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7993764/951
Therefore the LCM of Fractions 932/951,8577/951 is 7993764/951
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 951,951 . The biggest common factor number is the GCF number.
So the greatest common factor 951,951 is 951.
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 932/951, 8577/951?
Answer: LCM of Numerators as per given numbers 932/951, 8577/951 is
LCM of Numerators i.e. for 932,8577 is 7993764
GCF of denominators i.e. for 951,951 is 951.
Thus, LCM of Fractions is 7993764/951.Finally, LCM of Fractions for 932/951, 8577/951 is 7993764/951.