Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/588, 64/147 quickly i.e. 6336/147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/588, 64/147 is 6336/147.
LCM(99/588, 64/147) = 6336/147
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/588,64/147
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 99,64
Least Common Multiple of Numerators i.e. LCM of 99,64 is 6336.
GCF of Denominators means GCF of 588,147 as per the given fractions.
GCF of 588,147 is 147 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,64
Given numbers has no common factors except 1. So, there LCM is their product i.e 6336
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 99,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,64) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,64) x common factors =1 x 1 = 1
LCM(99,64) = ( 99 × 64 ) / 1
LCM(99,64) = 6336 / 1
LCM(99,64) = 6336
Lets's calculate GCF of 588,147
3 | 588, 147 |
7 | 196, 49 |
7 | 28, 7 |
4, 1 |
∴ So the GCF of the given numbers is 3 x 7 x 7 = 147
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6336/147
Therefore the LCM of Fractions 99/588,64/147 is 6336/147
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 588,147 . The biggest common factor number is the GCF number.
So the greatest common factor 588,147 is 147.
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 99/588, 64/147?
Answer: LCM of Numerators as per given numbers 99/588, 64/147 is
LCM of Numerators i.e. for 99,64 is 6336
GCF of denominators i.e. for 588,147 is 147.
Thus, LCM of Fractions is 6336/147.Finally, LCM of Fractions for 99/588, 64/147 is 6336/147.