Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/771, 566/726, 122/841 quickly i.e. 2589450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/771, 566/726, 122/841 is 2589450.
LCM(75/771, 566/726, 122/841) = 2589450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/771,566/726,122/841
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 75,566,122
Least Common Multiple of Numerators i.e. LCM of 75,566,122 is 2589450.
GCF of Denominators means GCF of 771,726,841 as per the given fractions.
GCF of 771,726,841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,566,122
2 | 75, 566, 122 |
75, 283, 61 |
∴ So the LCM of the given numbers is 2 x 75 x 283 x 61 = 2589450
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 75,566,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,566,122) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,566,122) x common factors =1 x 2 = 2
LCM(75,566,122) = ( 75 × 566 × 122 ) / 2
LCM(75,566,122) = 5178900 / 2
LCM(75,566,122) = 2589450
Lets's calculate GCF of 771,726,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2589450/1
Therefore the LCM of Fractions 75/771,566/726,122/841 is 2589450
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 771,726,841 . The biggest common factor number is the GCF number.
So the greatest common factor 771,726,841 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 75/771, 566/726, 122/841?
Answer: LCM of Numerators as per given numbers 75/771, 566/726, 122/841 is
LCM of Numerators i.e. for 75,566,122 is 2589450
GCF of denominators i.e. for 771,726,841 is 1.
Thus, LCM of Fractions is 2589450.Finally, LCM of Fractions for 75/771, 566/726, 122/841 is 2589450.