Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/80, 757/50, 196/302 quickly i.e. 296744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/80, 757/50, 196/302 is 296744.
LCM(16/80, 757/50, 196/302) = 296744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/80,757/50,196/302
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 16,757,196
Least Common Multiple of Numerators i.e. LCM of 16,757,196 is 593488.
GCF of Denominators means GCF of 80,50,302 as per the given fractions.
GCF of 80,50,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,757,196
2 | 16, 757, 196 |
2 | 8, 757, 98 |
4, 757, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 757 x 49 = 593488
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 16,757,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,757,196) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(16,757,196) x common factors =1 x 4 = 4
LCM(16,757,196) = ( 16 × 757 × 196 ) / 4
LCM(16,757,196) = 2373952 / 4
LCM(16,757,196) = 593488
Lets's calculate GCF of 80,50,302
2 | 80, 50, 302 |
40, 25, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 593488/2
Therefore the LCM of Fractions 16/80,757/50,196/302 is 296744
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 80,50,302 . The biggest common factor number is the GCF number.
So the greatest common factor 80,50,302 is 2.
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 16/80, 757/50, 196/302?
Answer: LCM of Numerators as per given numbers 16/80, 757/50, 196/302 is
LCM of Numerators i.e. for 16,757,196 is 593488
GCF of denominators i.e. for 80,50,302 is 2.
Thus, LCM of Fractions is 296744.Finally, LCM of Fractions for 16/80, 757/50, 196/302 is 296744.