Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 179/75, 392/6598 quickly i.e. 70168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 179/75, 392/6598 is 70168.
LCM(179/75, 392/6598) = 70168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 179/75,392/6598
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 179,392
Least Common Multiple of Numerators i.e. LCM of 179,392 is 70168.
GCF of Denominators means GCF of 75,6598 as per the given fractions.
GCF of 75,6598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 179,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 70168
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 179,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,392) x common factors =1 x 1 = 1
LCM(179,392) = ( 179 × 392 ) / 1
LCM(179,392) = 70168 / 1
LCM(179,392) = 70168
Lets's calculate GCF of 75,6598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70168/1
Therefore the LCM of Fractions 179/75,392/6598 is 70168
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 6598
List of positive integer factors of 6598 that divides 6598 without a remainder.
1,2,3299,6598
Greatest Common Factor
We found the factors 75,6598 . The biggest common factor number is the GCF number.
So the greatest common factor 75,6598 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 179/75, 392/6598?
Answer: LCM of Numerators as per given numbers 179/75, 392/6598 is
LCM of Numerators i.e. for 179,392 is 70168
GCF of denominators i.e. for 75,6598 is 1.
Thus, LCM of Fractions is 70168.Finally, LCM of Fractions for 179/75, 392/6598 is 70168.