Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7364/765, 5953/6636 quickly i.e. 43837892/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7364/765, 5953/6636 is 43837892/3.
LCM(7364/765, 5953/6636) = 43837892/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7364/765,5953/6636
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 7364,5953
Least Common Multiple of Numerators i.e. LCM of 7364,5953 is 43837892.
GCF of Denominators means GCF of 765,6636 as per the given fractions.
GCF of 765,6636 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7364,5953
Given numbers has no common factors except 1. So, there LCM is their product i.e 43837892
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 7364,5953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7364,5953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7364,5953) x common factors =1 x 1 = 1
LCM(7364,5953) = ( 7364 × 5953 ) / 1
LCM(7364,5953) = 43837892 / 1
LCM(7364,5953) = 43837892
Lets's calculate GCF of 765,6636
3 | 765, 6636 |
255, 2212 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43837892/3
Therefore the LCM of Fractions 7364/765,5953/6636 is 43837892/3
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 6636
List of positive integer factors of 6636 that divides 6636 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Greatest Common Factor
We found the factors 765,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 765,6636 is 3.
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 7364/765, 5953/6636?
Answer: LCM of Numerators as per given numbers 7364/765, 5953/6636 is
LCM of Numerators i.e. for 7364,5953 is 43837892
GCF of denominators i.e. for 765,6636 is 3.
Thus, LCM of Fractions is 43837892/3.Finally, LCM of Fractions for 7364/765, 5953/6636 is 43837892/3.