Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1447/861, 9129/6472 quickly i.e. 13209663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1447/861, 9129/6472 is 13209663.
LCM(1447/861, 9129/6472) = 13209663
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1447/861,9129/6472
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 1447,9129
Least Common Multiple of Numerators i.e. LCM of 1447,9129 is 13209663.
GCF of Denominators means GCF of 861,6472 as per the given fractions.
GCF of 861,6472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1447,9129
Given numbers has no common factors except 1. So, there LCM is their product i.e 13209663
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 1447,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1447,9129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1447,9129) x common factors =1 x 1 = 1
LCM(1447,9129) = ( 1447 × 9129 ) / 1
LCM(1447,9129) = 13209663 / 1
LCM(1447,9129) = 13209663
Lets's calculate GCF of 861,6472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13209663/1
Therefore the LCM of Fractions 1447/861,9129/6472 is 13209663
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 6472
List of positive integer factors of 6472 that divides 6472 without a remainder.
1,2,4,8,809,1618,3236,6472
Greatest Common Factor
We found the factors 861,6472 . The biggest common factor number is the GCF number.
So the greatest common factor 861,6472 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 1447/861, 9129/6472?
Answer: LCM of Numerators as per given numbers 1447/861, 9129/6472 is
LCM of Numerators i.e. for 1447,9129 is 13209663
GCF of denominators i.e. for 861,6472 is 1.
Thus, LCM of Fractions is 13209663.Finally, LCM of Fractions for 1447/861, 9129/6472 is 13209663.