Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 469/775, 1837/9529 quickly i.e. 861553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 469/775, 1837/9529 is 861553.
LCM(469/775, 1837/9529) = 861553
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 469/775,1837/9529
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 469,1837
Least Common Multiple of Numerators i.e. LCM of 469,1837 is 861553.
GCF of Denominators means GCF of 775,9529 as per the given fractions.
GCF of 775,9529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 469,1837
Given numbers has no common factors except 1. So, there LCM is their product i.e 861553
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 469,1837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,1837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,1837) x common factors =1 x 1 = 1
LCM(469,1837) = ( 469 × 1837 ) / 1
LCM(469,1837) = 861553 / 1
LCM(469,1837) = 861553
Lets's calculate GCF of 775,9529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 861553/1
Therefore the LCM of Fractions 469/775,1837/9529 is 861553
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 9529
List of positive integer factors of 9529 that divides 9529 without a remainder.
1,13,733,9529
Greatest Common Factor
We found the factors 775,9529 . The biggest common factor number is the GCF number.
So the greatest common factor 775,9529 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 469/775, 1837/9529?
Answer: LCM of Numerators as per given numbers 469/775, 1837/9529 is
LCM of Numerators i.e. for 469,1837 is 861553
GCF of denominators i.e. for 775,9529 is 1.
Thus, LCM of Fractions is 861553.Finally, LCM of Fractions for 469/775, 1837/9529 is 861553.