Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5568/266, 7253/6948 quickly i.e. 20192352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5568/266, 7253/6948 is 20192352.
LCM(5568/266, 7253/6948) = 20192352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5568/266,7253/6948
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 5568,7253
Least Common Multiple of Numerators i.e. LCM of 5568,7253 is 40384704.
GCF of Denominators means GCF of 266,6948 as per the given fractions.
GCF of 266,6948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5568,7253
Given numbers has no common factors except 1. So, there LCM is their product i.e 40384704
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 5568,7253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5568,7253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5568,7253) x common factors =1 x 1 = 1
LCM(5568,7253) = ( 5568 × 7253 ) / 1
LCM(5568,7253) = 40384704 / 1
LCM(5568,7253) = 40384704
Lets's calculate GCF of 266,6948
2 | 266, 6948 |
133, 3474 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40384704/2
Therefore the LCM of Fractions 5568/266,7253/6948 is 20192352
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 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948
Greatest Common Factor
We found the factors 266,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 266,6948 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 5568/266, 7253/6948?
Answer: LCM of Numerators as per given numbers 5568/266, 7253/6948 is
LCM of Numerators i.e. for 5568,7253 is 40384704
GCF of denominators i.e. for 266,6948 is 2.
Thus, LCM of Fractions is 20192352.Finally, LCM of Fractions for 5568/266, 7253/6948 is 20192352.