Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 961/919, 501/571, 944/326 quickly i.e. 454499184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 961/919, 501/571, 944/326 is 454499184.
LCM(961/919, 501/571, 944/326) = 454499184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 961/919,501/571,944/326
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 961,501,944
Least Common Multiple of Numerators i.e. LCM of 961,501,944 is 454499184.
GCF of Denominators means GCF of 919,571,326 as per the given fractions.
GCF of 919,571,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 961,501,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 454499184
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 961,501,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,501,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,501,944) x common factors =1 x 1 = 1
LCM(961,501,944) = ( 961 × 501 × 944 ) / 1
LCM(961,501,944) = 454499184 / 1
LCM(961,501,944) = 454499184
Lets's calculate GCF of 919,571,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454499184/1
Therefore the LCM of Fractions 961/919,501/571,944/326 is 454499184
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 919,571,326 . The biggest common factor number is the GCF number.
So the greatest common factor 919,571,326 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 961/919, 501/571, 944/326?
Answer: LCM of Numerators as per given numbers 961/919, 501/571, 944/326 is
LCM of Numerators i.e. for 961,501,944 is 454499184
GCF of denominators i.e. for 919,571,326 is 1.
Thus, LCM of Fractions is 454499184.Finally, LCM of Fractions for 961/919, 501/571, 944/326 is 454499184.