Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 699/696, 644/384 quickly i.e. 450156/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 699/696, 644/384 is 450156/24.
LCM(699/696, 644/384) = 450156/24
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 699/696,644/384
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 699,644
Least Common Multiple of Numerators i.e. LCM of 699,644 is 450156.
GCF of Denominators means GCF of 696,384 as per the given fractions.
GCF of 696,384 is 24 as it is the largest common factor for these numbers.
Lets's calculate LCM of 699,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 450156
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 699,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,644) x common factors =1 x 1 = 1
LCM(699,644) = ( 699 × 644 ) / 1
LCM(699,644) = 450156 / 1
LCM(699,644) = 450156
Lets's calculate GCF of 696,384
2 | 696, 384 |
2 | 348, 192 |
2 | 174, 96 |
3 | 87, 48 |
29, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450156/24
Therefore the LCM of Fractions 699/696,644/384 is 450156/24
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 696,384 . The biggest common factor number is the GCF number.
So the greatest common factor 696,384 is 24.
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 699/696, 644/384?
Answer: LCM of Numerators as per given numbers 699/696, 644/384 is
LCM of Numerators i.e. for 699,644 is 450156
GCF of denominators i.e. for 696,384 is 24.
Thus, LCM of Fractions is 450156/24.Finally, LCM of Fractions for 699/696, 644/384 is 450156/24.