Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9968/409, 7578/3454 quickly i.e. 37768752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9968/409, 7578/3454 is 37768752.
LCM(9968/409, 7578/3454) = 37768752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9968/409,7578/3454
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 9968,7578
Least Common Multiple of Numerators i.e. LCM of 9968,7578 is 37768752.
GCF of Denominators means GCF of 409,3454 as per the given fractions.
GCF of 409,3454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9968,7578
2 | 9968, 7578 |
4984, 3789 |
∴ So the LCM of the given numbers is 2 x 4984 x 3789 = 37768752
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 9968,7578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9968,7578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9968,7578) x common factors =2 x 1 = 2
LCM(9968,7578) = ( 9968 × 7578 ) / 2
LCM(9968,7578) = 75537504 / 2
LCM(9968,7578) = 37768752
Lets's calculate GCF of 409,3454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37768752/1
Therefore the LCM of Fractions 9968/409,7578/3454 is 37768752
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 3454
List of positive integer factors of 3454 that divides 3454 without a remainder.
1,2,11,22,157,314,1727,3454
Greatest Common Factor
We found the factors 409,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 409,3454 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 9968/409, 7578/3454?
Answer: LCM of Numerators as per given numbers 9968/409, 7578/3454 is
LCM of Numerators i.e. for 9968,7578 is 37768752
GCF of denominators i.e. for 409,3454 is 1.
Thus, LCM of Fractions is 37768752.Finally, LCM of Fractions for 9968/409, 7578/3454 is 37768752.