Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5390/738, 8232/8479 quickly i.e. 452760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5390/738, 8232/8479 is 452760.
LCM(5390/738, 8232/8479) = 452760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5390/738,8232/8479
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 5390,8232
Least Common Multiple of Numerators i.e. LCM of 5390,8232 is 452760.
GCF of Denominators means GCF of 738,8479 as per the given fractions.
GCF of 738,8479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5390,8232
2 | 5390, 8232 |
7 | 2695, 4116 |
7 | 385, 588 |
55, 84 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 55 x 84 = 452760
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 5390,8232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5390,8232) = 98
common factors(in case of two or more numbers have common factors) = 1
GCF(5390,8232) x common factors =98 x 1 = 98
LCM(5390,8232) = ( 5390 × 8232 ) / 98
LCM(5390,8232) = 44370480 / 98
LCM(5390,8232) = 452760
Lets's calculate GCF of 738,8479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452760/1
Therefore the LCM of Fractions 5390/738,8232/8479 is 452760
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 8479
List of positive integer factors of 8479 that divides 8479 without a remainder.
1,61,139,8479
Greatest Common Factor
We found the factors 738,8479 . The biggest common factor number is the GCF number.
So the greatest common factor 738,8479 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 5390/738, 8232/8479?
Answer: LCM of Numerators as per given numbers 5390/738, 8232/8479 is
LCM of Numerators i.e. for 5390,8232 is 452760
GCF of denominators i.e. for 738,8479 is 1.
Thus, LCM of Fractions is 452760.Finally, LCM of Fractions for 5390/738, 8232/8479 is 452760.