Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/163, 6344/4216 quickly i.e. 209352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/163, 6344/4216 is 209352.
LCM(66/163, 6344/4216) = 209352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/163,6344/4216
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 66,6344
Least Common Multiple of Numerators i.e. LCM of 66,6344 is 209352.
GCF of Denominators means GCF of 163,4216 as per the given fractions.
GCF of 163,4216 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,6344
2 | 66, 6344 |
33, 3172 |
∴ So the LCM of the given numbers is 2 x 33 x 3172 = 209352
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 66,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,6344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,6344) x common factors =2 x 1 = 2
LCM(66,6344) = ( 66 × 6344 ) / 2
LCM(66,6344) = 418704 / 2
LCM(66,6344) = 209352
Lets's calculate GCF of 163,4216
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209352/1
Therefore the LCM of Fractions 66/163,6344/4216 is 209352
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 4216
List of positive integer factors of 4216 that divides 4216 without a remainder.
1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Greatest Common Factor
We found the factors 163,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 163,4216 is 1.
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 66/163, 6344/4216?
Answer: LCM of Numerators as per given numbers 66/163, 6344/4216 is
LCM of Numerators i.e. for 66,6344 is 209352
GCF of denominators i.e. for 163,4216 is 1.
Thus, LCM of Fractions is 209352.Finally, LCM of Fractions for 66/163, 6344/4216 is 209352.