Least Common Multiple of 518/688, 230/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/688, 230/399 quickly i.e. 59570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/688, 230/399 is 59570.

LCM(518/688, 230/399) = 59570

LCM of 518/688, 230/399

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 518/688,230/399

Given numbers are 518/688,230/399

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 518,230

Least Common Multiple of Numerators i.e. LCM of 518,230 is 59570.

GCF of Denominators means GCF of 688,399 as per the given fractions.

GCF of 688,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,230

LCM of Fractions 518/688,230/399 is 59570

2 518, 230
259, 115

∴ So the LCM of the given numbers is 2 x 259 x 115 = 59570

Least Common Multiple of 518,230 with GCF Formula

Least Common Multiple of 518,230 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 518,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,230) = 2

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

GCF(518,230) x common factors =2 x 1 = 2

LCM(518,230) = ( 518 × 230 ) / 2

LCM(518,230) = 119140 / 2

LCM(518,230) = 59570


Lets's calculate GCF of 688,399

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59570/1

Therefore the LCM of Fractions 518/688,230/399 is 59570

Greatest Common Factor of 688,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,399 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 688,399 . The biggest common factor number is the GCF number.
So the greatest common factor 688,399 is 1.


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 518/688, 230/399

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 518/688, 230/399?

Answer: LCM of Numerators as per given numbers 518/688, 230/399 is

LCM of Numerators i.e. for 518,230 is 59570

GCF of denominators i.e. for 688,399 is 1.

Thus, LCM of Fractions is 59570.Finally, LCM of Fractions for 518/688, 230/399 is 59570.