Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 571/53, 122/60, 145/326 quickly i.e. 10100990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 571/53, 122/60, 145/326 is 10100990.
LCM(571/53, 122/60, 145/326) = 10100990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 571/53,122/60,145/326
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 571,122,145
Least Common Multiple of Numerators i.e. LCM of 571,122,145 is 10100990.
GCF of Denominators means GCF of 53,60,326 as per the given fractions.
GCF of 53,60,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 571,122,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 10100990
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 571,122,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,122,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,122,145) x common factors =1 x 1 = 1
LCM(571,122,145) = ( 571 × 122 × 145 ) / 1
LCM(571,122,145) = 10100990 / 1
LCM(571,122,145) = 10100990
Lets's calculate GCF of 53,60,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10100990/1
Therefore the LCM of Fractions 571/53,122/60,145/326 is 10100990
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
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 53,60,326 . The biggest common factor number is the GCF number.
So the greatest common factor 53,60,326 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 571/53, 122/60, 145/326?
Answer: LCM of Numerators as per given numbers 571/53, 122/60, 145/326 is
LCM of Numerators i.e. for 571,122,145 is 10100990
GCF of denominators i.e. for 53,60,326 is 1.
Thus, LCM of Fractions is 10100990.Finally, LCM of Fractions for 571/53, 122/60, 145/326 is 10100990.