Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1968/459, 8944/669 quickly i.e. 366704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1968/459, 8944/669 is 366704.
LCM(1968/459, 8944/669) = 366704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1968/459,8944/669
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 1968,8944
Least Common Multiple of Numerators i.e. LCM of 1968,8944 is 1100112.
GCF of Denominators means GCF of 459,669 as per the given fractions.
GCF of 459,669 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1968,8944
2 | 1968, 8944 |
2 | 984, 4472 |
2 | 492, 2236 |
2 | 246, 1118 |
123, 559 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 123 x 559 = 1100112
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 1968,8944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1968,8944) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(1968,8944) x common factors =16 x 1 = 16
LCM(1968,8944) = ( 1968 × 8944 ) / 16
LCM(1968,8944) = 17601792 / 16
LCM(1968,8944) = 1100112
Lets's calculate GCF of 459,669
3 | 459, 669 |
153, 223 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1100112/3
Therefore the LCM of Fractions 1968/459,8944/669 is 366704
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 459,669 . The biggest common factor number is the GCF number.
So the greatest common factor 459,669 is 3.
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 1968/459, 8944/669?
Answer: LCM of Numerators as per given numbers 1968/459, 8944/669 is
LCM of Numerators i.e. for 1968,8944 is 1100112
GCF of denominators i.e. for 459,669 is 3.
Thus, LCM of Fractions is 366704.Finally, LCM of Fractions for 1968/459, 8944/669 is 366704.