Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 750/866, 811/548, 132/861 quickly i.e. 13381500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 750/866, 811/548, 132/861 is 13381500.
LCM(750/866, 811/548, 132/861) = 13381500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 750/866,811/548,132/861
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 750,811,132
Least Common Multiple of Numerators i.e. LCM of 750,811,132 is 13381500.
GCF of Denominators means GCF of 866,548,861 as per the given fractions.
GCF of 866,548,861 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 750,811,132
2 | 750, 811, 132 |
3 | 375, 811, 66 |
125, 811, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 811 x 22 = 13381500
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 750,811,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,811,132) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(750,811,132) x common factors =1 x 6 = 6
LCM(750,811,132) = ( 750 × 811 × 132 ) / 6
LCM(750,811,132) = 80289000 / 6
LCM(750,811,132) = 13381500
Lets's calculate GCF of 866,548,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13381500/1
Therefore the LCM of Fractions 750/866,811/548,132/861 is 13381500
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 866,548,861 . The biggest common factor number is the GCF number.
So the greatest common factor 866,548,861 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 750/866, 811/548, 132/861?
Answer: LCM of Numerators as per given numbers 750/866, 811/548, 132/861 is
LCM of Numerators i.e. for 750,811,132 is 13381500
GCF of denominators i.e. for 866,548,861 is 1.
Thus, LCM of Fractions is 13381500.Finally, LCM of Fractions for 750/866, 811/548, 132/861 is 13381500.