Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 160/399, 441/660 quickly i.e. 23520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 160/399, 441/660 is 23520.
LCM(160/399, 441/660) = 23520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 160/399,441/660
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 160,441
Least Common Multiple of Numerators i.e. LCM of 160,441 is 70560.
GCF of Denominators means GCF of 399,660 as per the given fractions.
GCF of 399,660 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 160,441
Given numbers has no common factors except 1. So, there LCM is their product i.e 70560
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 160,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,441) x common factors =1 x 1 = 1
LCM(160,441) = ( 160 × 441 ) / 1
LCM(160,441) = 70560 / 1
LCM(160,441) = 70560
Lets's calculate GCF of 399,660
3 | 399, 660 |
133, 220 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70560/3
Therefore the LCM of Fractions 160/399,441/660 is 23520
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 399,660 . The biggest common factor number is the GCF number.
So the greatest common factor 399,660 is 3.
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 160/399, 441/660?
Answer: LCM of Numerators as per given numbers 160/399, 441/660 is
LCM of Numerators i.e. for 160,441 is 70560
GCF of denominators i.e. for 399,660 is 3.
Thus, LCM of Fractions is 23520.Finally, LCM of Fractions for 160/399, 441/660 is 23520.