Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/82, 847/89, 964/643 quickly i.e. 761801964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/82, 847/89, 964/643 is 761801964.
LCM(933/82, 847/89, 964/643) = 761801964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/82,847/89,964/643
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 933,847,964
Least Common Multiple of Numerators i.e. LCM of 933,847,964 is 761801964.
GCF of Denominators means GCF of 82,89,643 as per the given fractions.
GCF of 82,89,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,847,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 761801964
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 933,847,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,847,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,847,964) x common factors =1 x 1 = 1
LCM(933,847,964) = ( 933 × 847 × 964 ) / 1
LCM(933,847,964) = 761801964 / 1
LCM(933,847,964) = 761801964
Lets's calculate GCF of 82,89,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 761801964/1
Therefore the LCM of Fractions 933/82,847/89,964/643 is 761801964
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 82,89,643 . The biggest common factor number is the GCF number.
So the greatest common factor 82,89,643 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 933/82, 847/89, 964/643?
Answer: LCM of Numerators as per given numbers 933/82, 847/89, 964/643 is
LCM of Numerators i.e. for 933,847,964 is 761801964
GCF of denominators i.e. for 82,89,643 is 1.
Thus, LCM of Fractions is 761801964.Finally, LCM of Fractions for 933/82, 847/89, 964/643 is 761801964.