Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 342/124, 7493/4099 quickly i.e. 2562606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 342/124, 7493/4099 is 2562606.
LCM(342/124, 7493/4099) = 2562606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 342/124,7493/4099
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 342,7493
Least Common Multiple of Numerators i.e. LCM of 342,7493 is 2562606.
GCF of Denominators means GCF of 124,4099 as per the given fractions.
GCF of 124,4099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 342,7493
Given numbers has no common factors except 1. So, there LCM is their product i.e 2562606
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 342,7493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,7493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,7493) x common factors =1 x 1 = 1
LCM(342,7493) = ( 342 × 7493 ) / 1
LCM(342,7493) = 2562606 / 1
LCM(342,7493) = 2562606
Lets's calculate GCF of 124,4099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2562606/1
Therefore the LCM of Fractions 342/124,7493/4099 is 2562606
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 4099
List of positive integer factors of 4099 that divides 4099 without a remainder.
1,4099
Greatest Common Factor
We found the factors 124,4099 . The biggest common factor number is the GCF number.
So the greatest common factor 124,4099 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 342/124, 7493/4099?
Answer: LCM of Numerators as per given numbers 342/124, 7493/4099 is
LCM of Numerators i.e. for 342,7493 is 2562606
GCF of denominators i.e. for 124,4099 is 1.
Thus, LCM of Fractions is 2562606.Finally, LCM of Fractions for 342/124, 7493/4099 is 2562606.