Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/98, 318/64, 323/778 quickly i.e. 5597913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/98, 318/64, 323/778 is 5597913.
LCM(327/98, 318/64, 323/778) = 5597913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/98,318/64,323/778
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 327,318,323
Least Common Multiple of Numerators i.e. LCM of 327,318,323 is 11195826.
GCF of Denominators means GCF of 98,64,778 as per the given fractions.
GCF of 98,64,778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,318,323
3 | 327, 318, 323 |
109, 106, 323 |
∴ So the LCM of the given numbers is 3 x 109 x 106 x 323 = 11195826
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 327,318,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,318,323) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(327,318,323) x common factors =1 x 3 = 3
LCM(327,318,323) = ( 327 × 318 × 323 ) / 3
LCM(327,318,323) = 33587478 / 3
LCM(327,318,323) = 11195826
Lets's calculate GCF of 98,64,778
2 | 98, 64, 778 |
49, 32, 389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11195826/2
Therefore the LCM of Fractions 327/98,318/64,323/778 is 5597913
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 98,64,778 . The biggest common factor number is the GCF number.
So the greatest common factor 98,64,778 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 327/98, 318/64, 323/778?
Answer: LCM of Numerators as per given numbers 327/98, 318/64, 323/778 is
LCM of Numerators i.e. for 327,318,323 is 11195826
GCF of denominators i.e. for 98,64,778 is 2.
Thus, LCM of Fractions is 5597913.Finally, LCM of Fractions for 327/98, 318/64, 323/778 is 5597913.