Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 303/10, 638/88, 343/464 quickly i.e. 33153351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 303/10, 638/88, 343/464 is 33153351.
LCM(303/10, 638/88, 343/464) = 33153351
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 303/10,638/88,343/464
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 303,638,343
Least Common Multiple of Numerators i.e. LCM of 303,638,343 is 66306702.
GCF of Denominators means GCF of 10,88,464 as per the given fractions.
GCF of 10,88,464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 303,638,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 66306702
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 303,638,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,638,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,638,343) x common factors =1 x 1 = 1
LCM(303,638,343) = ( 303 × 638 × 343 ) / 1
LCM(303,638,343) = 66306702 / 1
LCM(303,638,343) = 66306702
Lets's calculate GCF of 10,88,464
2 | 10, 88, 464 |
5, 44, 232 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66306702/2
Therefore the LCM of Fractions 303/10,638/88,343/464 is 33153351
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 10,88,464 . The biggest common factor number is the GCF number.
So the greatest common factor 10,88,464 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 303/10, 638/88, 343/464?
Answer: LCM of Numerators as per given numbers 303/10, 638/88, 343/464 is
LCM of Numerators i.e. for 303,638,343 is 66306702
GCF of denominators i.e. for 10,88,464 is 2.
Thus, LCM of Fractions is 33153351.Finally, LCM of Fractions for 303/10, 638/88, 343/464 is 33153351.