Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 178/384, 4463/2690 quickly i.e. 397207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 178/384, 4463/2690 is 397207.
LCM(178/384, 4463/2690) = 397207
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 178/384,4463/2690
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 178,4463
Least Common Multiple of Numerators i.e. LCM of 178,4463 is 794414.
GCF of Denominators means GCF of 384,2690 as per the given fractions.
GCF of 384,2690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 178,4463
Given numbers has no common factors except 1. So, there LCM is their product i.e 794414
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 178,4463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,4463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,4463) x common factors =1 x 1 = 1
LCM(178,4463) = ( 178 × 4463 ) / 1
LCM(178,4463) = 794414 / 1
LCM(178,4463) = 794414
Lets's calculate GCF of 384,2690
2 | 384, 2690 |
192, 1345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794414/2
Therefore the LCM of Fractions 178/384,4463/2690 is 397207
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
Factors of 2690
List of positive integer factors of 2690 that divides 2690 without a remainder.
1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 384,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 384,2690 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 178/384, 4463/2690?
Answer: LCM of Numerators as per given numbers 178/384, 4463/2690 is
LCM of Numerators i.e. for 178,4463 is 794414
GCF of denominators i.e. for 384,2690 is 2.
Thus, LCM of Fractions is 397207.Finally, LCM of Fractions for 178/384, 4463/2690 is 397207.