Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6165/707, 5950/6601 quickly i.e. 1048050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6165/707, 5950/6601 is 1048050.
LCM(6165/707, 5950/6601) = 1048050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6165/707,5950/6601
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 6165,5950
Least Common Multiple of Numerators i.e. LCM of 6165,5950 is 7336350.
GCF of Denominators means GCF of 707,6601 as per the given fractions.
GCF of 707,6601 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6165,5950
5 | 6165, 5950 |
1233, 1190 |
∴ So the LCM of the given numbers is 5 x 1233 x 1190 = 7336350
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 6165,5950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6165,5950) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(6165,5950) x common factors =5 x 1 = 5
LCM(6165,5950) = ( 6165 × 5950 ) / 5
LCM(6165,5950) = 36681750 / 5
LCM(6165,5950) = 7336350
Lets's calculate GCF of 707,6601
7 | 707, 6601 |
101, 943 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7336350/7
Therefore the LCM of Fractions 6165/707,5950/6601 is 1048050
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 6601
List of positive integer factors of 6601 that divides 6601 without a remainder.
1,7,23,41,161,287,943,6601
Greatest Common Factor
We found the factors 707,6601 . The biggest common factor number is the GCF number.
So the greatest common factor 707,6601 is 7.
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 6165/707, 5950/6601?
Answer: LCM of Numerators as per given numbers 6165/707, 5950/6601 is
LCM of Numerators i.e. for 6165,5950 is 7336350
GCF of denominators i.e. for 707,6601 is 7.
Thus, LCM of Fractions is 1048050.Finally, LCM of Fractions for 6165/707, 5950/6601 is 1048050.