Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8221/262, 6330/334 quickly i.e. 26019465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8221/262, 6330/334 is 26019465.
LCM(8221/262, 6330/334) = 26019465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8221/262,6330/334
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 8221,6330
Least Common Multiple of Numerators i.e. LCM of 8221,6330 is 52038930.
GCF of Denominators means GCF of 262,334 as per the given fractions.
GCF of 262,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8221,6330
Given numbers has no common factors except 1. So, there LCM is their product i.e 52038930
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 8221,6330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8221,6330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8221,6330) x common factors =1 x 1 = 1
LCM(8221,6330) = ( 8221 × 6330 ) / 1
LCM(8221,6330) = 52038930 / 1
LCM(8221,6330) = 52038930
Lets's calculate GCF of 262,334
2 | 262, 334 |
131, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52038930/2
Therefore the LCM of Fractions 8221/262,6330/334 is 26019465
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 262,334 . The biggest common factor number is the GCF number.
So the greatest common factor 262,334 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 8221/262, 6330/334?
Answer: LCM of Numerators as per given numbers 8221/262, 6330/334 is
LCM of Numerators i.e. for 8221,6330 is 52038930
GCF of denominators i.e. for 262,334 is 2.
Thus, LCM of Fractions is 26019465.Finally, LCM of Fractions for 8221/262, 6330/334 is 26019465.