Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 960/66, 173/41, 721/901 quickly i.e. 119743680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 960/66, 173/41, 721/901 is 119743680.
LCM(960/66, 173/41, 721/901) = 119743680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 960/66,173/41,721/901
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 960,173,721
Least Common Multiple of Numerators i.e. LCM of 960,173,721 is 119743680.
GCF of Denominators means GCF of 66,41,901 as per the given fractions.
GCF of 66,41,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 960,173,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 119743680
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 960,173,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,173,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,173,721) x common factors =1 x 1 = 1
LCM(960,173,721) = ( 960 × 173 × 721 ) / 1
LCM(960,173,721) = 119743680 / 1
LCM(960,173,721) = 119743680
Lets's calculate GCF of 66,41,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119743680/1
Therefore the LCM of Fractions 960/66,173/41,721/901 is 119743680
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 66,41,901 . The biggest common factor number is the GCF number.
So the greatest common factor 66,41,901 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 960/66, 173/41, 721/901?
Answer: LCM of Numerators as per given numbers 960/66, 173/41, 721/901 is
LCM of Numerators i.e. for 960,173,721 is 119743680
GCF of denominators i.e. for 66,41,901 is 1.
Thus, LCM of Fractions is 119743680.Finally, LCM of Fractions for 960/66, 173/41, 721/901 is 119743680.