Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 373/67, 125/6694 quickly i.e. 46625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 373/67, 125/6694 is 46625.
LCM(373/67, 125/6694) = 46625
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 373/67,125/6694
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 373,125
Least Common Multiple of Numerators i.e. LCM of 373,125 is 46625.
GCF of Denominators means GCF of 67,6694 as per the given fractions.
GCF of 67,6694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 373,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 46625
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 373,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,125) x common factors =1 x 1 = 1
LCM(373,125) = ( 373 × 125 ) / 1
LCM(373,125) = 46625 / 1
LCM(373,125) = 46625
Lets's calculate GCF of 67,6694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46625/1
Therefore the LCM of Fractions 373/67,125/6694 is 46625
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 6694
List of positive integer factors of 6694 that divides 6694 without a remainder.
1,2,3347,6694
Greatest Common Factor
We found the factors 67,6694 . The biggest common factor number is the GCF number.
So the greatest common factor 67,6694 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 373/67, 125/6694?
Answer: LCM of Numerators as per given numbers 373/67, 125/6694 is
LCM of Numerators i.e. for 373,125 is 46625
GCF of denominators i.e. for 67,6694 is 1.
Thus, LCM of Fractions is 46625.Finally, LCM of Fractions for 373/67, 125/6694 is 46625.