Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 919/326, 709/568, 254/477 quickly i.e. 165499034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 919/326, 709/568, 254/477 is 165499034.
LCM(919/326, 709/568, 254/477) = 165499034
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 919/326,709/568,254/477
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 919,709,254
Least Common Multiple of Numerators i.e. LCM of 919,709,254 is 165499034.
GCF of Denominators means GCF of 326,568,477 as per the given fractions.
GCF of 326,568,477 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 919,709,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 165499034
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 919,709,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,709,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,709,254) x common factors =1 x 1 = 1
LCM(919,709,254) = ( 919 × 709 × 254 ) / 1
LCM(919,709,254) = 165499034 / 1
LCM(919,709,254) = 165499034
Lets's calculate GCF of 326,568,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165499034/1
Therefore the LCM of Fractions 919/326,709/568,254/477 is 165499034
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 326,568,477 . The biggest common factor number is the GCF number.
So the greatest common factor 326,568,477 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 919/326, 709/568, 254/477?
Answer: LCM of Numerators as per given numbers 919/326, 709/568, 254/477 is
LCM of Numerators i.e. for 919,709,254 is 165499034
GCF of denominators i.e. for 326,568,477 is 1.
Thus, LCM of Fractions is 165499034.Finally, LCM of Fractions for 919/326, 709/568, 254/477 is 165499034.