Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4275/721, 5044/835 quickly i.e. 21563100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4275/721, 5044/835 is 21563100.
LCM(4275/721, 5044/835) = 21563100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4275/721,5044/835
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 4275,5044
Least Common Multiple of Numerators i.e. LCM of 4275,5044 is 21563100.
GCF of Denominators means GCF of 721,835 as per the given fractions.
GCF of 721,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4275,5044
Given numbers has no common factors except 1. So, there LCM is their product i.e 21563100
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 4275,5044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4275,5044) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4275,5044) x common factors =1 x 1 = 1
LCM(4275,5044) = ( 4275 × 5044 ) / 1
LCM(4275,5044) = 21563100 / 1
LCM(4275,5044) = 21563100
Lets's calculate GCF of 721,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21563100/1
Therefore the LCM of Fractions 4275/721,5044/835 is 21563100
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 721,835 . The biggest common factor number is the GCF number.
So the greatest common factor 721,835 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 4275/721, 5044/835?
Answer: LCM of Numerators as per given numbers 4275/721, 5044/835 is
LCM of Numerators i.e. for 4275,5044 is 21563100
GCF of denominators i.e. for 721,835 is 1.
Thus, LCM of Fractions is 21563100.Finally, LCM of Fractions for 4275/721, 5044/835 is 21563100.