Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1582/649, 5878/498 quickly i.e. 4649498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1582/649, 5878/498 is 4649498.
LCM(1582/649, 5878/498) = 4649498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1582/649,5878/498
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 1582,5878
Least Common Multiple of Numerators i.e. LCM of 1582,5878 is 4649498.
GCF of Denominators means GCF of 649,498 as per the given fractions.
GCF of 649,498 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1582,5878
2 | 1582, 5878 |
791, 2939 |
∴ So the LCM of the given numbers is 2 x 791 x 2939 = 4649498
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 1582,5878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1582,5878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1582,5878) x common factors =2 x 1 = 2
LCM(1582,5878) = ( 1582 × 5878 ) / 2
LCM(1582,5878) = 9298996 / 2
LCM(1582,5878) = 4649498
Lets's calculate GCF of 649,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4649498/1
Therefore the LCM of Fractions 1582/649,5878/498 is 4649498
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 649,498 . The biggest common factor number is the GCF number.
So the greatest common factor 649,498 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 1582/649, 5878/498?
Answer: LCM of Numerators as per given numbers 1582/649, 5878/498 is
LCM of Numerators i.e. for 1582,5878 is 4649498
GCF of denominators i.e. for 649,498 is 1.
Thus, LCM of Fractions is 4649498.Finally, LCM of Fractions for 1582/649, 5878/498 is 4649498.