Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/629, 8755/8758 quickly i.e. 586585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/629, 8755/8758 is 586585.
LCM(67/629, 8755/8758) = 586585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/629,8755/8758
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 67,8755
Least Common Multiple of Numerators i.e. LCM of 67,8755 is 586585.
GCF of Denominators means GCF of 629,8758 as per the given fractions.
GCF of 629,8758 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,8755
Given numbers has no common factors except 1. So, there LCM is their product i.e 586585
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 67,8755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,8755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,8755) x common factors =1 x 1 = 1
LCM(67,8755) = ( 67 × 8755 ) / 1
LCM(67,8755) = 586585 / 1
LCM(67,8755) = 586585
Lets's calculate GCF of 629,8758
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586585/1
Therefore the LCM of Fractions 67/629,8755/8758 is 586585
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 8758
List of positive integer factors of 8758 that divides 8758 without a remainder.
1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 629,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 629,8758 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 67/629, 8755/8758?
Answer: LCM of Numerators as per given numbers 67/629, 8755/8758 is
LCM of Numerators i.e. for 67,8755 is 586585
GCF of denominators i.e. for 629,8758 is 1.
Thus, LCM of Fractions is 586585.Finally, LCM of Fractions for 67/629, 8755/8758 is 586585.