Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/398, 203/726, 179/226 quickly i.e. 327033/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/398, 203/726, 179/226 is 327033/2.
LCM(63/398, 203/726, 179/226) = 327033/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/398,203/726,179/226
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 63,203,179
Least Common Multiple of Numerators i.e. LCM of 63,203,179 is 327033.
GCF of Denominators means GCF of 398,726,226 as per the given fractions.
GCF of 398,726,226 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,203,179
7 | 63, 203, 179 |
9, 29, 179 |
∴ So the LCM of the given numbers is 7 x 9 x 29 x 179 = 327033
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 63,203,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,203,179) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(63,203,179) x common factors =1 x 7 = 7
LCM(63,203,179) = ( 63 × 203 × 179 ) / 7
LCM(63,203,179) = 2289231 / 7
LCM(63,203,179) = 327033
Lets's calculate GCF of 398,726,226
2 | 398, 726, 226 |
199, 363, 113 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327033/2
Therefore the LCM of Fractions 63/398,203/726,179/226 is 327033/2
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 398,726,226 . The biggest common factor number is the GCF number.
So the greatest common factor 398,726,226 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 63/398, 203/726, 179/226?
Answer: LCM of Numerators as per given numbers 63/398, 203/726, 179/226 is
LCM of Numerators i.e. for 63,203,179 is 327033
GCF of denominators i.e. for 398,726,226 is 2.
Thus, LCM of Fractions is 327033/2.Finally, LCM of Fractions for 63/398, 203/726, 179/226 is 327033/2.