Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 370/389, 7551/7383 quickly i.e. 2793870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 370/389, 7551/7383 is 2793870.
LCM(370/389, 7551/7383) = 2793870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 370/389,7551/7383
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 370,7551
Least Common Multiple of Numerators i.e. LCM of 370,7551 is 2793870.
GCF of Denominators means GCF of 389,7383 as per the given fractions.
GCF of 389,7383 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 370,7551
Given numbers has no common factors except 1. So, there LCM is their product i.e 2793870
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 370,7551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,7551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,7551) x common factors =1 x 1 = 1
LCM(370,7551) = ( 370 × 7551 ) / 1
LCM(370,7551) = 2793870 / 1
LCM(370,7551) = 2793870
Lets's calculate GCF of 389,7383
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2793870/1
Therefore the LCM of Fractions 370/389,7551/7383 is 2793870
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 7383
List of positive integer factors of 7383 that divides 7383 without a remainder.
1,3,23,69,107,321,2461,7383
Greatest Common Factor
We found the factors 389,7383 . The biggest common factor number is the GCF number.
So the greatest common factor 389,7383 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 370/389, 7551/7383?
Answer: LCM of Numerators as per given numbers 370/389, 7551/7383 is
LCM of Numerators i.e. for 370,7551 is 2793870
GCF of denominators i.e. for 389,7383 is 1.
Thus, LCM of Fractions is 2793870.Finally, LCM of Fractions for 370/389, 7551/7383 is 2793870.