Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/445, 5651/4717 quickly i.e. 3752264/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/445, 5651/4717 is 3752264/89.
LCM(664/445, 5651/4717) = 3752264/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/445,5651/4717
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 664,5651
Least Common Multiple of Numerators i.e. LCM of 664,5651 is 3752264.
GCF of Denominators means GCF of 445,4717 as per the given fractions.
GCF of 445,4717 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,5651
Given numbers has no common factors except 1. So, there LCM is their product i.e 3752264
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 664,5651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,5651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,5651) x common factors =1 x 1 = 1
LCM(664,5651) = ( 664 × 5651 ) / 1
LCM(664,5651) = 3752264 / 1
LCM(664,5651) = 3752264
Lets's calculate GCF of 445,4717
89 | 445, 4717 |
5, 53 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3752264/89
Therefore the LCM of Fractions 664/445,5651/4717 is 3752264/89
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1,53,89,4717
Greatest Common Factor
We found the factors 445,4717 . The biggest common factor number is the GCF number.
So the greatest common factor 445,4717 is 89.
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 664/445, 5651/4717?
Answer: LCM of Numerators as per given numbers 664/445, 5651/4717 is
LCM of Numerators i.e. for 664,5651 is 3752264
GCF of denominators i.e. for 445,4717 is 89.
Thus, LCM of Fractions is 3752264/89.Finally, LCM of Fractions for 664/445, 5651/4717 is 3752264/89.