Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 807/642, 8927/2671 quickly i.e. 7204089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 807/642, 8927/2671 is 7204089.
LCM(807/642, 8927/2671) = 7204089
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 807/642,8927/2671
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 807,8927
Least Common Multiple of Numerators i.e. LCM of 807,8927 is 7204089.
GCF of Denominators means GCF of 642,2671 as per the given fractions.
GCF of 642,2671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 807,8927
Given numbers has no common factors except 1. So, there LCM is their product i.e 7204089
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 807,8927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,8927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,8927) x common factors =1 x 1 = 1
LCM(807,8927) = ( 807 × 8927 ) / 1
LCM(807,8927) = 7204089 / 1
LCM(807,8927) = 7204089
Lets's calculate GCF of 642,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7204089/1
Therefore the LCM of Fractions 807/642,8927/2671 is 7204089
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 2671
List of positive integer factors of 2671 that divides 2671 without a remainder.
1,2671
Greatest Common Factor
We found the factors 642,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 642,2671 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 807/642, 8927/2671?
Answer: LCM of Numerators as per given numbers 807/642, 8927/2671 is
LCM of Numerators i.e. for 807,8927 is 7204089
GCF of denominators i.e. for 642,2671 is 1.
Thus, LCM of Fractions is 7204089.Finally, LCM of Fractions for 807/642, 8927/2671 is 7204089.