Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7952/896, 5129/6933 quickly i.e. 40785808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7952/896, 5129/6933 is 40785808.
LCM(7952/896, 5129/6933) = 40785808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7952/896,5129/6933
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 7952,5129
Least Common Multiple of Numerators i.e. LCM of 7952,5129 is 40785808.
GCF of Denominators means GCF of 896,6933 as per the given fractions.
GCF of 896,6933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7952,5129
Given numbers has no common factors except 1. So, there LCM is their product i.e 40785808
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 7952,5129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7952,5129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7952,5129) x common factors =1 x 1 = 1
LCM(7952,5129) = ( 7952 × 5129 ) / 1
LCM(7952,5129) = 40785808 / 1
LCM(7952,5129) = 40785808
Lets's calculate GCF of 896,6933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40785808/1
Therefore the LCM of Fractions 7952/896,5129/6933 is 40785808
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 6933
List of positive integer factors of 6933 that divides 6933 without a remainder.
1,3,2311,6933
Greatest Common Factor
We found the factors 896,6933 . The biggest common factor number is the GCF number.
So the greatest common factor 896,6933 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 7952/896, 5129/6933?
Answer: LCM of Numerators as per given numbers 7952/896, 5129/6933 is
LCM of Numerators i.e. for 7952,5129 is 40785808
GCF of denominators i.e. for 896,6933 is 1.
Thus, LCM of Fractions is 40785808.Finally, LCM of Fractions for 7952/896, 5129/6933 is 40785808.