Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 575/52, 769/8455 quickly i.e. 442175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 575/52, 769/8455 is 442175.
LCM(575/52, 769/8455) = 442175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 575/52,769/8455
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 575,769
Least Common Multiple of Numerators i.e. LCM of 575,769 is 442175.
GCF of Denominators means GCF of 52,8455 as per the given fractions.
GCF of 52,8455 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 575,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 442175
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 575,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,769) x common factors =1 x 1 = 1
LCM(575,769) = ( 575 × 769 ) / 1
LCM(575,769) = 442175 / 1
LCM(575,769) = 442175
Lets's calculate GCF of 52,8455
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442175/1
Therefore the LCM of Fractions 575/52,769/8455 is 442175
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 8455
List of positive integer factors of 8455 that divides 8455 without a remainder.
1,5,19,89,95,445,1691,8455
Greatest Common Factor
We found the factors 52,8455 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8455 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 575/52, 769/8455?
Answer: LCM of Numerators as per given numbers 575/52, 769/8455 is
LCM of Numerators i.e. for 575,769 is 442175
GCF of denominators i.e. for 52,8455 is 1.
Thus, LCM of Fractions is 442175.Finally, LCM of Fractions for 575/52, 769/8455 is 442175.