Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/574, 7420/2842 quickly i.e. 49290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/574, 7420/2842 is 49290.
LCM(93/574, 7420/2842) = 49290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/574,7420/2842
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 93,7420
Least Common Multiple of Numerators i.e. LCM of 93,7420 is 690060.
GCF of Denominators means GCF of 574,2842 as per the given fractions.
GCF of 574,2842 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7420
Given numbers has no common factors except 1. So, there LCM is their product i.e 690060
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 93,7420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7420) x common factors =1 x 1 = 1
LCM(93,7420) = ( 93 × 7420 ) / 1
LCM(93,7420) = 690060 / 1
LCM(93,7420) = 690060
Lets's calculate GCF of 574,2842
2 | 574, 2842 |
7 | 287, 1421 |
41, 203 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690060/14
Therefore the LCM of Fractions 93/574,7420/2842 is 49290
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 2842
List of positive integer factors of 2842 that divides 2842 without a remainder.
1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 574,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 574,2842 is 14.
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 93/574, 7420/2842?
Answer: LCM of Numerators as per given numbers 93/574, 7420/2842 is
LCM of Numerators i.e. for 93,7420 is 690060
GCF of denominators i.e. for 574,2842 is 14.
Thus, LCM of Fractions is 49290.Finally, LCM of Fractions for 93/574, 7420/2842 is 49290.