Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3664/760, 4297/349 quickly i.e. 15744208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3664/760, 4297/349 is 15744208.
LCM(3664/760, 4297/349) = 15744208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3664/760,4297/349
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 3664,4297
Least Common Multiple of Numerators i.e. LCM of 3664,4297 is 15744208.
GCF of Denominators means GCF of 760,349 as per the given fractions.
GCF of 760,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3664,4297
Given numbers has no common factors except 1. So, there LCM is their product i.e 15744208
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 3664,4297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3664,4297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3664,4297) x common factors =1 x 1 = 1
LCM(3664,4297) = ( 3664 × 4297 ) / 1
LCM(3664,4297) = 15744208 / 1
LCM(3664,4297) = 15744208
Lets's calculate GCF of 760,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15744208/1
Therefore the LCM of Fractions 3664/760,4297/349 is 15744208
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 760,349 . The biggest common factor number is the GCF number.
So the greatest common factor 760,349 is 1.
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 3664/760, 4297/349?
Answer: LCM of Numerators as per given numbers 3664/760, 4297/349 is
LCM of Numerators i.e. for 3664,4297 is 15744208
GCF of denominators i.e. for 760,349 is 1.
Thus, LCM of Fractions is 15744208.Finally, LCM of Fractions for 3664/760, 4297/349 is 15744208.