Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/869, 7891/6266 quickly i.e. 4418960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/869, 7891/6266 is 4418960.
LCM(560/869, 7891/6266) = 4418960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/869,7891/6266
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 560,7891
Least Common Multiple of Numerators i.e. LCM of 560,7891 is 4418960.
GCF of Denominators means GCF of 869,6266 as per the given fractions.
GCF of 869,6266 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,7891
Given numbers has no common factors except 1. So, there LCM is their product i.e 4418960
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 560,7891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,7891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,7891) x common factors =1 x 1 = 1
LCM(560,7891) = ( 560 × 7891 ) / 1
LCM(560,7891) = 4418960 / 1
LCM(560,7891) = 4418960
Lets's calculate GCF of 869,6266
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4418960/1
Therefore the LCM of Fractions 560/869,7891/6266 is 4418960
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 6266
List of positive integer factors of 6266 that divides 6266 without a remainder.
1,2,13,26,241,482,3133,6266
Greatest Common Factor
We found the factors 869,6266 . The biggest common factor number is the GCF number.
So the greatest common factor 869,6266 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 560/869, 7891/6266?
Answer: LCM of Numerators as per given numbers 560/869, 7891/6266 is
LCM of Numerators i.e. for 560,7891 is 4418960
GCF of denominators i.e. for 869,6266 is 1.
Thus, LCM of Fractions is 4418960.Finally, LCM of Fractions for 560/869, 7891/6266 is 4418960.