Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/124, 5480/4099 quickly i.e. 202760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/124, 5480/4099 is 202760.
LCM(74/124, 5480/4099) = 202760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/124,5480/4099
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 74,5480
Least Common Multiple of Numerators i.e. LCM of 74,5480 is 202760.
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 74,5480
2 | 74, 5480 |
37, 2740 |
∴ So the LCM of the given numbers is 2 x 37 x 2740 = 202760
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 74,5480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,5480) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,5480) x common factors =2 x 1 = 2
LCM(74,5480) = ( 74 × 5480 ) / 2
LCM(74,5480) = 405520 / 2
LCM(74,5480) = 202760
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 = 202760/1
Therefore the LCM of Fractions 74/124,5480/4099 is 202760
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 74/124, 5480/4099?
Answer: LCM of Numerators as per given numbers 74/124, 5480/4099 is
LCM of Numerators i.e. for 74,5480 is 202760
GCF of denominators i.e. for 124,4099 is 1.
Thus, LCM of Fractions is 202760.Finally, LCM of Fractions for 74/124, 5480/4099 is 202760.