Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/66, 1/67, 29/85, 81/761 quickly i.e. 4698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/66, 1/67, 29/85, 81/761 is 4698.
LCM(2/66, 1/67, 29/85, 81/761) = 4698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/66,1/67,29/85,81/761
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 2,1,29,81
Least Common Multiple of Numerators i.e. LCM of 2,1,29,81 is 4698.
GCF of Denominators means GCF of 66,67,85,761 as per the given fractions.
GCF of 66,67,85,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,1,29,81
Given numbers has no common factors except 1. So, there LCM is their product i.e 4698
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 2,1,29,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,1,29,81) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,1,29,81) x common factors =1 x 1 = 1
LCM(2,1,29,81) = ( 2 × 1 × 29 × 81 ) / 1
LCM(2,1,29,81) = 4698 / 1
LCM(2,1,29,81) = 4698
Lets's calculate GCF of 66,67,85,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4698/1
Therefore the LCM of Fractions 2/66,1/67,29/85,81/761 is 4698
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 66,67,85,761 . The biggest common factor number is the GCF number.
So the greatest common factor 66,67,85,761 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 2/66, 1/67, 29/85, 81/761?
Answer: LCM of Numerators as per given numbers 2/66, 1/67, 29/85, 81/761 is
LCM of Numerators i.e. for 2,1,29,81 is 4698
GCF of denominators i.e. for 66,67,85,761 is 1.
Thus, LCM of Fractions is 4698.Finally, LCM of Fractions for 2/66, 1/67, 29/85, 81/761 is 4698.