Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/414, 9588/7916 quickly i.e. 110262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/414, 9588/7916 is 110262.
LCM(69/414, 9588/7916) = 110262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/414,9588/7916
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 69,9588
Least Common Multiple of Numerators i.e. LCM of 69,9588 is 220524.
GCF of Denominators means GCF of 414,7916 as per the given fractions.
GCF of 414,7916 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,9588
3 | 69, 9588 |
23, 3196 |
∴ So the LCM of the given numbers is 3 x 23 x 3196 = 220524
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 69,9588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,9588) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,9588) x common factors =3 x 1 = 3
LCM(69,9588) = ( 69 × 9588 ) / 3
LCM(69,9588) = 661572 / 3
LCM(69,9588) = 220524
Lets's calculate GCF of 414,7916
2 | 414, 7916 |
207, 3958 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220524/2
Therefore the LCM of Fractions 69/414,9588/7916 is 110262
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 7916
List of positive integer factors of 7916 that divides 7916 without a remainder.
1,2,4,1979,3958,7916
Greatest Common Factor
We found the factors 414,7916 . The biggest common factor number is the GCF number.
So the greatest common factor 414,7916 is 2.
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 69/414, 9588/7916?
Answer: LCM of Numerators as per given numbers 69/414, 9588/7916 is
LCM of Numerators i.e. for 69,9588 is 220524
GCF of denominators i.e. for 414,7916 is 2.
Thus, LCM of Fractions is 110262.Finally, LCM of Fractions for 69/414, 9588/7916 is 110262.