Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7466/880, 9039/179 quickly i.e. 67485174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7466/880, 9039/179 is 67485174.
LCM(7466/880, 9039/179) = 67485174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7466/880,9039/179
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 7466,9039
Least Common Multiple of Numerators i.e. LCM of 7466,9039 is 67485174.
GCF of Denominators means GCF of 880,179 as per the given fractions.
GCF of 880,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7466,9039
Given numbers has no common factors except 1. So, there LCM is their product i.e 67485174
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 7466,9039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7466,9039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7466,9039) x common factors =1 x 1 = 1
LCM(7466,9039) = ( 7466 × 9039 ) / 1
LCM(7466,9039) = 67485174 / 1
LCM(7466,9039) = 67485174
Lets's calculate GCF of 880,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67485174/1
Therefore the LCM of Fractions 7466/880,9039/179 is 67485174
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 880,179 . The biggest common factor number is the GCF number.
So the greatest common factor 880,179 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 7466/880, 9039/179?
Answer: LCM of Numerators as per given numbers 7466/880, 9039/179 is
LCM of Numerators i.e. for 7466,9039 is 67485174
GCF of denominators i.e. for 880,179 is 1.
Thus, LCM of Fractions is 67485174.Finally, LCM of Fractions for 7466/880, 9039/179 is 67485174.