Least Common Multiple of 686/43, 466/23, 530/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/43, 466/23, 530/513 quickly i.e. 42357070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/43, 466/23, 530/513 is 42357070.

LCM(686/43, 466/23, 530/513) = 42357070

LCM of 686/43, 466/23, 530/513

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 686/43,466/23,530/513

Given numbers are 686/43,466/23,530/513

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 686,466,530

Least Common Multiple of Numerators i.e. LCM of 686,466,530 is 42357070.

GCF of Denominators means GCF of 43,23,513 as per the given fractions.

GCF of 43,23,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,466,530

LCM of Fractions 686/43,466/23,530/513 is 42357070

2 686, 466, 530
343, 233, 265

∴ So the LCM of the given numbers is 2 x 343 x 233 x 265 = 42357070

Least Common Multiple of 686,466,530 with GCF Formula

Least Common Multiple of 686,466,530 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 686,466,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,466,530) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(686,466,530) x common factors =2 x 2 = 4

LCM(686,466,530) = ( 686 × 466 × 530 ) / 4

LCM(686,466,530) = 169428280 / 4

LCM(686,466,530) = 42357070


Lets's calculate GCF of 43,23,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42357070/1

Therefore the LCM of Fractions 686/43,466/23,530/513 is 42357070

Greatest Common Factor of 43,23,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,23,513 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 43,23,513 . The biggest common factor number is the GCF number.
So the greatest common factor 43,23,513 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 686/43, 466/23, 530/513

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 686/43, 466/23, 530/513?

Answer: LCM of Numerators as per given numbers 686/43, 466/23, 530/513 is

LCM of Numerators i.e. for 686,466,530 is 42357070

GCF of denominators i.e. for 43,23,513 is 1.

Thus, LCM of Fractions is 42357070.Finally, LCM of Fractions for 686/43, 466/23, 530/513 is 42357070.