Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4776/795, 3695/459 quickly i.e. 5882440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4776/795, 3695/459 is 5882440.
LCM(4776/795, 3695/459) = 5882440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4776/795,3695/459
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 4776,3695
Least Common Multiple of Numerators i.e. LCM of 4776,3695 is 17647320.
GCF of Denominators means GCF of 795,459 as per the given fractions.
GCF of 795,459 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4776,3695
Given numbers has no common factors except 1. So, there LCM is their product i.e 17647320
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 4776,3695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4776,3695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4776,3695) x common factors =1 x 1 = 1
LCM(4776,3695) = ( 4776 × 3695 ) / 1
LCM(4776,3695) = 17647320 / 1
LCM(4776,3695) = 17647320
Lets's calculate GCF of 795,459
3 | 795, 459 |
265, 153 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17647320/3
Therefore the LCM of Fractions 4776/795,3695/459 is 5882440
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 795,459 . The biggest common factor number is the GCF number.
So the greatest common factor 795,459 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 4776/795, 3695/459?
Answer: LCM of Numerators as per given numbers 4776/795, 3695/459 is
LCM of Numerators i.e. for 4776,3695 is 17647320
GCF of denominators i.e. for 795,459 is 3.
Thus, LCM of Fractions is 5882440.Finally, LCM of Fractions for 4776/795, 3695/459 is 5882440.