Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6784/266, 6833/926 quickly i.e. 23177536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6784/266, 6833/926 is 23177536.
LCM(6784/266, 6833/926) = 23177536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6784/266,6833/926
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 6784,6833
Least Common Multiple of Numerators i.e. LCM of 6784,6833 is 46355072.
GCF of Denominators means GCF of 266,926 as per the given fractions.
GCF of 266,926 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6784,6833
Given numbers has no common factors except 1. So, there LCM is their product i.e 46355072
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 6784,6833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6784,6833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6784,6833) x common factors =1 x 1 = 1
LCM(6784,6833) = ( 6784 × 6833 ) / 1
LCM(6784,6833) = 46355072 / 1
LCM(6784,6833) = 46355072
Lets's calculate GCF of 266,926
2 | 266, 926 |
133, 463 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46355072/2
Therefore the LCM of Fractions 6784/266,6833/926 is 23177536
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 266,926 . The biggest common factor number is the GCF number.
So the greatest common factor 266,926 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 6784/266, 6833/926?
Answer: LCM of Numerators as per given numbers 6784/266, 6833/926 is
LCM of Numerators i.e. for 6784,6833 is 46355072
GCF of denominators i.e. for 266,926 is 2.
Thus, LCM of Fractions is 23177536.Finally, LCM of Fractions for 6784/266, 6833/926 is 23177536.