Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4963/266, 5586/247 quickly i.e. 208446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4963/266, 5586/247 is 208446.
LCM(4963/266, 5586/247) = 208446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4963/266,5586/247
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 4963,5586
Least Common Multiple of Numerators i.e. LCM of 4963,5586 is 3960474.
GCF of Denominators means GCF of 266,247 as per the given fractions.
GCF of 266,247 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4963,5586
7 | 4963, 5586 |
709, 798 |
∴ So the LCM of the given numbers is 7 x 709 x 798 = 3960474
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 4963,5586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4963,5586) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(4963,5586) x common factors =7 x 1 = 7
LCM(4963,5586) = ( 4963 × 5586 ) / 7
LCM(4963,5586) = 27723318 / 7
LCM(4963,5586) = 3960474
Lets's calculate GCF of 266,247
19 | 266, 247 |
14, 13 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960474/19
Therefore the LCM of Fractions 4963/266,5586/247 is 208446
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 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 266,247 . The biggest common factor number is the GCF number.
So the greatest common factor 266,247 is 19.
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 4963/266, 5586/247?
Answer: LCM of Numerators as per given numbers 4963/266, 5586/247 is
LCM of Numerators i.e. for 4963,5586 is 3960474
GCF of denominators i.e. for 266,247 is 19.
Thus, LCM of Fractions is 208446.Finally, LCM of Fractions for 4963/266, 5586/247 is 208446.