Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/875, 26/669, 901/866 quickly i.e. 1569542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/875, 26/669, 901/866 is 1569542.
LCM(67/875, 26/669, 901/866) = 1569542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/875,26/669,901/866
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 67,26,901
Least Common Multiple of Numerators i.e. LCM of 67,26,901 is 1569542.
GCF of Denominators means GCF of 875,669,866 as per the given fractions.
GCF of 875,669,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,26,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 1569542
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 67,26,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,26,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,26,901) x common factors =1 x 1 = 1
LCM(67,26,901) = ( 67 × 26 × 901 ) / 1
LCM(67,26,901) = 1569542 / 1
LCM(67,26,901) = 1569542
Lets's calculate GCF of 875,669,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1569542/1
Therefore the LCM of Fractions 67/875,26/669,901/866 is 1569542
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 875,669,866 . The biggest common factor number is the GCF number.
So the greatest common factor 875,669,866 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 67/875, 26/669, 901/866?
Answer: LCM of Numerators as per given numbers 67/875, 26/669, 901/866 is
LCM of Numerators i.e. for 67,26,901 is 1569542
GCF of denominators i.e. for 875,669,866 is 1.
Thus, LCM of Fractions is 1569542.Finally, LCM of Fractions for 67/875, 26/669, 901/866 is 1569542.