Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/53, 419/90, 960/543 quickly i.e. 383334720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/53, 419/90, 960/543 is 383334720.
LCM(953/53, 419/90, 960/543) = 383334720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/53,419/90,960/543
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 953,419,960
Least Common Multiple of Numerators i.e. LCM of 953,419,960 is 383334720.
GCF of Denominators means GCF of 53,90,543 as per the given fractions.
GCF of 53,90,543 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,419,960
Given numbers has no common factors except 1. So, there LCM is their product i.e 383334720
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 953,419,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,419,960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,419,960) x common factors =1 x 1 = 1
LCM(953,419,960) = ( 953 × 419 × 960 ) / 1
LCM(953,419,960) = 383334720 / 1
LCM(953,419,960) = 383334720
Lets's calculate GCF of 53,90,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383334720/1
Therefore the LCM of Fractions 953/53,419/90,960/543 is 383334720
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Greatest Common Factor
We found the factors 53,90,543 . The biggest common factor number is the GCF number.
So the greatest common factor 53,90,543 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 953/53, 419/90, 960/543?
Answer: LCM of Numerators as per given numbers 953/53, 419/90, 960/543 is
LCM of Numerators i.e. for 953,419,960 is 383334720
GCF of denominators i.e. for 53,90,543 is 1.
Thus, LCM of Fractions is 383334720.Finally, LCM of Fractions for 953/53, 419/90, 960/543 is 383334720.