Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/82, 419/88, 353/827 quickly i.e. 113000948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/82, 419/88, 353/827 is 113000948.
LCM(764/82, 419/88, 353/827) = 113000948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/82,419/88,353/827
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 764,419,353
Least Common Multiple of Numerators i.e. LCM of 764,419,353 is 113000948.
GCF of Denominators means GCF of 82,88,827 as per the given fractions.
GCF of 82,88,827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,419,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 113000948
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 764,419,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,419,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,419,353) x common factors =1 x 1 = 1
LCM(764,419,353) = ( 764 × 419 × 353 ) / 1
LCM(764,419,353) = 113000948 / 1
LCM(764,419,353) = 113000948
Lets's calculate GCF of 82,88,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113000948/1
Therefore the LCM of Fractions 764/82,419/88,353/827 is 113000948
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 82,88,827 . The biggest common factor number is the GCF number.
So the greatest common factor 82,88,827 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 764/82, 419/88, 353/827?
Answer: LCM of Numerators as per given numbers 764/82, 419/88, 353/827 is
LCM of Numerators i.e. for 764,419,353 is 113000948
GCF of denominators i.e. for 82,88,827 is 1.
Thus, LCM of Fractions is 113000948.Finally, LCM of Fractions for 764/82, 419/88, 353/827 is 113000948.