Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/464, 6608/5425 quickly i.e. 535248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/464, 6608/5425 is 535248.
LCM(81/464, 6608/5425) = 535248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/464,6608/5425
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 81,6608
Least Common Multiple of Numerators i.e. LCM of 81,6608 is 535248.
GCF of Denominators means GCF of 464,5425 as per the given fractions.
GCF of 464,5425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,6608
Given numbers has no common factors except 1. So, there LCM is their product i.e 535248
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 81,6608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,6608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,6608) x common factors =1 x 1 = 1
LCM(81,6608) = ( 81 × 6608 ) / 1
LCM(81,6608) = 535248 / 1
LCM(81,6608) = 535248
Lets's calculate GCF of 464,5425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535248/1
Therefore the LCM of Fractions 81/464,6608/5425 is 535248
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 5425
List of positive integer factors of 5425 that divides 5425 without a remainder.
1,5,7,25,31,35,155,175,217,775,1085,5425
Greatest Common Factor
We found the factors 464,5425 . The biggest common factor number is the GCF number.
So the greatest common factor 464,5425 is 1.
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 81/464, 6608/5425?
Answer: LCM of Numerators as per given numbers 81/464, 6608/5425 is
LCM of Numerators i.e. for 81,6608 is 535248
GCF of denominators i.e. for 464,5425 is 1.
Thus, LCM of Fractions is 535248.Finally, LCM of Fractions for 81/464, 6608/5425 is 535248.