Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7813/67, 8851/536 quickly i.e. 69152863/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7813/67, 8851/536 is 69152863/67.
LCM(7813/67, 8851/536) = 69152863/67
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7813/67,8851/536
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 7813,8851
Least Common Multiple of Numerators i.e. LCM of 7813,8851 is 69152863.
GCF of Denominators means GCF of 67,536 as per the given fractions.
GCF of 67,536 is 67 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7813,8851
Given numbers has no common factors except 1. So, there LCM is their product i.e 69152863
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 7813,8851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7813,8851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7813,8851) x common factors =1 x 1 = 1
LCM(7813,8851) = ( 7813 × 8851 ) / 1
LCM(7813,8851) = 69152863 / 1
LCM(7813,8851) = 69152863
Lets's calculate GCF of 67,536
67 | 67, 536 |
1, 8 |
∴ So the GCF of the given numbers is 67 = 67
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69152863/67
Therefore the LCM of Fractions 7813/67,8851/536 is 69152863/67
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 67,536 . The biggest common factor number is the GCF number.
So the greatest common factor 67,536 is 67.
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 7813/67, 8851/536?
Answer: LCM of Numerators as per given numbers 7813/67, 8851/536 is
LCM of Numerators i.e. for 7813,8851 is 69152863
GCF of denominators i.e. for 67,536 is 67.
Thus, LCM of Fractions is 69152863/67.Finally, LCM of Fractions for 7813/67, 8851/536 is 69152863/67.