Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/371, 3789/5007 quickly i.e. 2099106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/371, 3789/5007 is 2099106.
LCM(554/371, 3789/5007) = 2099106
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/371,3789/5007
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 554,3789
Least Common Multiple of Numerators i.e. LCM of 554,3789 is 2099106.
GCF of Denominators means GCF of 371,5007 as per the given fractions.
GCF of 371,5007 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,3789
Given numbers has no common factors except 1. So, there LCM is their product i.e 2099106
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 554,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,3789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,3789) x common factors =1 x 1 = 1
LCM(554,3789) = ( 554 × 3789 ) / 1
LCM(554,3789) = 2099106 / 1
LCM(554,3789) = 2099106
Lets's calculate GCF of 371,5007
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2099106/1
Therefore the LCM of Fractions 554/371,3789/5007 is 2099106
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 5007
List of positive integer factors of 5007 that divides 5007 without a remainder.
1,3,1669,5007
Greatest Common Factor
We found the factors 371,5007 . The biggest common factor number is the GCF number.
So the greatest common factor 371,5007 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 554/371, 3789/5007?
Answer: LCM of Numerators as per given numbers 554/371, 3789/5007 is
LCM of Numerators i.e. for 554,3789 is 2099106
GCF of denominators i.e. for 371,5007 is 1.
Thus, LCM of Fractions is 2099106.Finally, LCM of Fractions for 554/371, 3789/5007 is 2099106.