Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2084/499, 5170/458 quickly i.e. 5387140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2084/499, 5170/458 is 5387140.
LCM(2084/499, 5170/458) = 5387140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2084/499,5170/458
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 2084,5170
Least Common Multiple of Numerators i.e. LCM of 2084,5170 is 5387140.
GCF of Denominators means GCF of 499,458 as per the given fractions.
GCF of 499,458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2084,5170
2 | 2084, 5170 |
1042, 2585 |
∴ So the LCM of the given numbers is 2 x 1042 x 2585 = 5387140
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 2084,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2084,5170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2084,5170) x common factors =2 x 1 = 2
LCM(2084,5170) = ( 2084 × 5170 ) / 2
LCM(2084,5170) = 10774280 / 2
LCM(2084,5170) = 5387140
Lets's calculate GCF of 499,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5387140/1
Therefore the LCM of Fractions 2084/499,5170/458 is 5387140
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 499,458 . The biggest common factor number is the GCF number.
So the greatest common factor 499,458 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 2084/499, 5170/458?
Answer: LCM of Numerators as per given numbers 2084/499, 5170/458 is
LCM of Numerators i.e. for 2084,5170 is 5387140
GCF of denominators i.e. for 499,458 is 1.
Thus, LCM of Fractions is 5387140.Finally, LCM of Fractions for 2084/499, 5170/458 is 5387140.