Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/803, 36/928, 163/380 quickly i.e. 381420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/803, 36/928, 163/380 is 381420.
LCM(65/803, 36/928, 163/380) = 381420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/803,36/928,163/380
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 65,36,163
Least Common Multiple of Numerators i.e. LCM of 65,36,163 is 381420.
GCF of Denominators means GCF of 803,928,380 as per the given fractions.
GCF of 803,928,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,36,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 381420
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 65,36,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,36,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,36,163) x common factors =1 x 1 = 1
LCM(65,36,163) = ( 65 × 36 × 163 ) / 1
LCM(65,36,163) = 381420 / 1
LCM(65,36,163) = 381420
Lets's calculate GCF of 803,928,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381420/1
Therefore the LCM of Fractions 65/803,36/928,163/380 is 381420
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 803,928,380 . The biggest common factor number is the GCF number.
So the greatest common factor 803,928,380 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 65/803, 36/928, 163/380?
Answer: LCM of Numerators as per given numbers 65/803, 36/928, 163/380 is
LCM of Numerators i.e. for 65,36,163 is 381420
GCF of denominators i.e. for 803,928,380 is 1.
Thus, LCM of Fractions is 381420.Finally, LCM of Fractions for 65/803, 36/928, 163/380 is 381420.