Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/41, 21/67, 46/280 quickly i.e. 7728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/41, 21/67, 46/280 is 7728.
LCM(16/41, 21/67, 46/280) = 7728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/41,21/67,46/280
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 16,21,46
Least Common Multiple of Numerators i.e. LCM of 16,21,46 is 7728.
GCF of Denominators means GCF of 41,67,280 as per the given fractions.
GCF of 41,67,280 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,21,46
2 | 16, 21, 46 |
8, 21, 23 |
∴ So the LCM of the given numbers is 2 x 8 x 21 x 23 = 7728
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 16,21,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,21,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,21,46) x common factors =1 x 2 = 2
LCM(16,21,46) = ( 16 × 21 × 46 ) / 2
LCM(16,21,46) = 15456 / 2
LCM(16,21,46) = 7728
Lets's calculate GCF of 41,67,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/1
Therefore the LCM of Fractions 16/41,21/67,46/280 is 7728
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 41,67,280 . The biggest common factor number is the GCF number.
So the greatest common factor 41,67,280 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 16/41, 21/67, 46/280?
Answer: LCM of Numerators as per given numbers 16/41, 21/67, 46/280 is
LCM of Numerators i.e. for 16,21,46 is 7728
GCF of denominators i.e. for 41,67,280 is 1.
Thus, LCM of Fractions is 7728.Finally, LCM of Fractions for 16/41, 21/67, 46/280 is 7728.