Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/43, 803/3139 quickly i.e. 213598/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/43, 803/3139 is 213598/43.
LCM(266/43, 803/3139) = 213598/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/43,803/3139
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 266,803
Least Common Multiple of Numerators i.e. LCM of 266,803 is 213598.
GCF of Denominators means GCF of 43,3139 as per the given fractions.
GCF of 43,3139 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 213598
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 266,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,803) x common factors =1 x 1 = 1
LCM(266,803) = ( 266 × 803 ) / 1
LCM(266,803) = 213598 / 1
LCM(266,803) = 213598
Lets's calculate GCF of 43,3139
43 | 43, 3139 |
1, 73 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213598/43
Therefore the LCM of Fractions 266/43,803/3139 is 213598/43
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 3139
List of positive integer factors of 3139 that divides 3139 without a remainder.
1,43,73,3139
Greatest Common Factor
We found the factors 43,3139 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3139 is 43.
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 266/43, 803/3139?
Answer: LCM of Numerators as per given numbers 266/43, 803/3139 is
LCM of Numerators i.e. for 266,803 is 213598
GCF of denominators i.e. for 43,3139 is 43.
Thus, LCM of Fractions is 213598/43.Finally, LCM of Fractions for 266/43, 803/3139 is 213598/43.