Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/486, 49/367, 69/724 quickly i.e. 13524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/486, 49/367, 69/724 is 13524.
LCM(4/486, 49/367, 69/724) = 13524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/486,49/367,69/724
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 4,49,69
Least Common Multiple of Numerators i.e. LCM of 4,49,69 is 13524.
GCF of Denominators means GCF of 486,367,724 as per the given fractions.
GCF of 486,367,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,49,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 13524
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 4,49,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,49,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,49,69) x common factors =1 x 1 = 1
LCM(4,49,69) = ( 4 × 49 × 69 ) / 1
LCM(4,49,69) = 13524 / 1
LCM(4,49,69) = 13524
Lets's calculate GCF of 486,367,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13524/1
Therefore the LCM of Fractions 4/486,49/367,69/724 is 13524
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 486,367,724 . The biggest common factor number is the GCF number.
So the greatest common factor 486,367,724 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 4/486, 49/367, 69/724?
Answer: LCM of Numerators as per given numbers 4/486, 49/367, 69/724 is
LCM of Numerators i.e. for 4,49,69 is 13524
GCF of denominators i.e. for 486,367,724 is 1.
Thus, LCM of Fractions is 13524.Finally, LCM of Fractions for 4/486, 49/367, 69/724 is 13524.