Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8646/771, 2707/531 quickly i.e. 7801574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8646/771, 2707/531 is 7801574.
LCM(8646/771, 2707/531) = 7801574
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8646/771,2707/531
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 8646,2707
Least Common Multiple of Numerators i.e. LCM of 8646,2707 is 23404722.
GCF of Denominators means GCF of 771,531 as per the given fractions.
GCF of 771,531 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8646,2707
Given numbers has no common factors except 1. So, there LCM is their product i.e 23404722
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 8646,2707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8646,2707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8646,2707) x common factors =1 x 1 = 1
LCM(8646,2707) = ( 8646 × 2707 ) / 1
LCM(8646,2707) = 23404722 / 1
LCM(8646,2707) = 23404722
Lets's calculate GCF of 771,531
3 | 771, 531 |
257, 177 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23404722/3
Therefore the LCM of Fractions 8646/771,2707/531 is 7801574
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 771,531 . The biggest common factor number is the GCF number.
So the greatest common factor 771,531 is 3.
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 8646/771, 2707/531?
Answer: LCM of Numerators as per given numbers 8646/771, 2707/531 is
LCM of Numerators i.e. for 8646,2707 is 23404722
GCF of denominators i.e. for 771,531 is 3.
Thus, LCM of Fractions is 7801574.Finally, LCM of Fractions for 8646/771, 2707/531 is 7801574.