Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6629/875, 6093/7106 quickly i.e. 40390497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6629/875, 6093/7106 is 40390497.
LCM(6629/875, 6093/7106) = 40390497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6629/875,6093/7106
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 6629,6093
Least Common Multiple of Numerators i.e. LCM of 6629,6093 is 40390497.
GCF of Denominators means GCF of 875,7106 as per the given fractions.
GCF of 875,7106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6629,6093
Given numbers has no common factors except 1. So, there LCM is their product i.e 40390497
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 6629,6093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6629,6093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6629,6093) x common factors =1 x 1 = 1
LCM(6629,6093) = ( 6629 × 6093 ) / 1
LCM(6629,6093) = 40390497 / 1
LCM(6629,6093) = 40390497
Lets's calculate GCF of 875,7106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40390497/1
Therefore the LCM of Fractions 6629/875,6093/7106 is 40390497
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 7106
List of positive integer factors of 7106 that divides 7106 without a remainder.
1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Greatest Common Factor
We found the factors 875,7106 . The biggest common factor number is the GCF number.
So the greatest common factor 875,7106 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 6629/875, 6093/7106?
Answer: LCM of Numerators as per given numbers 6629/875, 6093/7106 is
LCM of Numerators i.e. for 6629,6093 is 40390497
GCF of denominators i.e. for 875,7106 is 1.
Thus, LCM of Fractions is 40390497.Finally, LCM of Fractions for 6629/875, 6093/7106 is 40390497.