Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 464/648, 161/638 quickly i.e. 37352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 464/648, 161/638 is 37352.
LCM(464/648, 161/638) = 37352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 464/648,161/638
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 464,161
Least Common Multiple of Numerators i.e. LCM of 464,161 is 74704.
GCF of Denominators means GCF of 648,638 as per the given fractions.
GCF of 648,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 464,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 74704
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 464,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,161) x common factors =1 x 1 = 1
LCM(464,161) = ( 464 × 161 ) / 1
LCM(464,161) = 74704 / 1
LCM(464,161) = 74704
Lets's calculate GCF of 648,638
2 | 648, 638 |
324, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74704/2
Therefore the LCM of Fractions 464/648,161/638 is 37352
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 648,638 . The biggest common factor number is the GCF number.
So the greatest common factor 648,638 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 464/648, 161/638?
Answer: LCM of Numerators as per given numbers 464/648, 161/638 is
LCM of Numerators i.e. for 464,161 is 74704
GCF of denominators i.e. for 648,638 is 2.
Thus, LCM of Fractions is 37352.Finally, LCM of Fractions for 464/648, 161/638 is 37352.