Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9064/554, 6613/610 quickly i.e. 29970116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9064/554, 6613/610 is 29970116.
LCM(9064/554, 6613/610) = 29970116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9064/554,6613/610
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 9064,6613
Least Common Multiple of Numerators i.e. LCM of 9064,6613 is 59940232.
GCF of Denominators means GCF of 554,610 as per the given fractions.
GCF of 554,610 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9064,6613
Given numbers has no common factors except 1. So, there LCM is their product i.e 59940232
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 9064,6613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9064,6613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9064,6613) x common factors =1 x 1 = 1
LCM(9064,6613) = ( 9064 × 6613 ) / 1
LCM(9064,6613) = 59940232 / 1
LCM(9064,6613) = 59940232
Lets's calculate GCF of 554,610
2 | 554, 610 |
277, 305 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59940232/2
Therefore the LCM of Fractions 9064/554,6613/610 is 29970116
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 554,610 . The biggest common factor number is the GCF number.
So the greatest common factor 554,610 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 9064/554, 6613/610?
Answer: LCM of Numerators as per given numbers 9064/554, 6613/610 is
LCM of Numerators i.e. for 9064,6613 is 59940232
GCF of denominators i.e. for 554,610 is 2.
Thus, LCM of Fractions is 29970116.Finally, LCM of Fractions for 9064/554, 6613/610 is 29970116.