Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/793, 3597/1888 quickly i.e. 89925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/793, 3597/1888 is 89925.
LCM(75/793, 3597/1888) = 89925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/793,3597/1888
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 75,3597
Least Common Multiple of Numerators i.e. LCM of 75,3597 is 89925.
GCF of Denominators means GCF of 793,1888 as per the given fractions.
GCF of 793,1888 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,3597
3 | 75, 3597 |
25, 1199 |
∴ So the LCM of the given numbers is 3 x 25 x 1199 = 89925
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 75,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,3597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,3597) x common factors =3 x 1 = 3
LCM(75,3597) = ( 75 × 3597 ) / 3
LCM(75,3597) = 269775 / 3
LCM(75,3597) = 89925
Lets's calculate GCF of 793,1888
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89925/1
Therefore the LCM of Fractions 75/793,3597/1888 is 89925
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 1888
List of positive integer factors of 1888 that divides 1888 without a remainder.
1,2,4,8,16,32,59,118,236,472,944,1888
Greatest Common Factor
We found the factors 793,1888 . The biggest common factor number is the GCF number.
So the greatest common factor 793,1888 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 75/793, 3597/1888?
Answer: LCM of Numerators as per given numbers 75/793, 3597/1888 is
LCM of Numerators i.e. for 75,3597 is 89925
GCF of denominators i.e. for 793,1888 is 1.
Thus, LCM of Fractions is 89925.Finally, LCM of Fractions for 75/793, 3597/1888 is 89925.