Least Common Multiple of 518/834, 949/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/834, 949/514 quickly i.e. 245791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/834, 949/514 is 245791.

LCM(518/834, 949/514) = 245791

LCM of 518/834, 949/514

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 518/834,949/514

Given numbers are 518/834,949/514

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 518,949

Least Common Multiple of Numerators i.e. LCM of 518,949 is 491582.

GCF of Denominators means GCF of 834,514 as per the given fractions.

GCF of 834,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,949

LCM of Fractions 518/834,949/514 is 245791

Given numbers has no common factors except 1. So, there LCM is their product i.e 491582

Least Common Multiple of 518,949 with GCF Formula

Least Common Multiple of 518,949 with GCF Formula

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 518,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,949) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(518,949) x common factors =1 x 1 = 1

LCM(518,949) = ( 518 × 949 ) / 1

LCM(518,949) = 491582 / 1

LCM(518,949) = 491582


Lets's calculate GCF of 834,514

2 834, 514
417, 257

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491582/2

Therefore the LCM of Fractions 518/834,949/514 is 245791

Greatest Common Factor of 834,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,514 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 834,514 . The biggest common factor number is the GCF number.
So the greatest common factor 834,514 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 518/834, 949/514

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 518/834, 949/514?

Answer: LCM of Numerators as per given numbers 518/834, 949/514 is

LCM of Numerators i.e. for 518,949 is 491582

GCF of denominators i.e. for 834,514 is 2.

Thus, LCM of Fractions is 245791.Finally, LCM of Fractions for 518/834, 949/514 is 245791.