Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6334/645, 9595/6755 quickly i.e. 12154946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6334/645, 9595/6755 is 12154946.
LCM(6334/645, 9595/6755) = 12154946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6334/645,9595/6755
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 6334,9595
Least Common Multiple of Numerators i.e. LCM of 6334,9595 is 60774730.
GCF of Denominators means GCF of 645,6755 as per the given fractions.
GCF of 645,6755 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6334,9595
Given numbers has no common factors except 1. So, there LCM is their product i.e 60774730
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 6334,9595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6334,9595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6334,9595) x common factors =1 x 1 = 1
LCM(6334,9595) = ( 6334 × 9595 ) / 1
LCM(6334,9595) = 60774730 / 1
LCM(6334,9595) = 60774730
Lets's calculate GCF of 645,6755
5 | 645, 6755 |
129, 1351 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60774730/5
Therefore the LCM of Fractions 6334/645,9595/6755 is 12154946
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1,5,7,35,193,965,1351,6755
Greatest Common Factor
We found the factors 645,6755 . The biggest common factor number is the GCF number.
So the greatest common factor 645,6755 is 5.
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 6334/645, 9595/6755?
Answer: LCM of Numerators as per given numbers 6334/645, 9595/6755 is
LCM of Numerators i.e. for 6334,9595 is 60774730
GCF of denominators i.e. for 645,6755 is 5.
Thus, LCM of Fractions is 12154946.Finally, LCM of Fractions for 6334/645, 9595/6755 is 12154946.