Least Common Multiple of 5814/688, 4267/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5814/688, 4267/423 quickly i.e. 1459314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5814/688, 4267/423 is 1459314.

LCM(5814/688, 4267/423) = 1459314

LCM of 5814/688, 4267/423

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 5814/688,4267/423

Given numbers are 5814/688,4267/423

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 5814,4267

Least Common Multiple of Numerators i.e. LCM of 5814,4267 is 1459314.

GCF of Denominators means GCF of 688,423 as per the given fractions.

GCF of 688,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5814,4267

LCM of Fractions 5814/688,4267/423 is 1459314

17 5814, 4267
342, 251

∴ So the LCM of the given numbers is 17 x 342 x 251 = 1459314

Least Common Multiple of 5814,4267 with GCF Formula

Least Common Multiple of 5814,4267 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 5814,4267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5814,4267) = 17

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

GCF(5814,4267) x common factors =17 x 1 = 17

LCM(5814,4267) = ( 5814 × 4267 ) / 17

LCM(5814,4267) = 24808338 / 17

LCM(5814,4267) = 1459314


Lets's calculate GCF of 688,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1459314/1

Therefore the LCM of Fractions 5814/688,4267/423 is 1459314

Greatest Common Factor of 688,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,423 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 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 688,423 . The biggest common factor number is the GCF number.
So the greatest common factor 688,423 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 5814/688, 4267/423

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 5814/688, 4267/423?

Answer: LCM of Numerators as per given numbers 5814/688, 4267/423 is

LCM of Numerators i.e. for 5814,4267 is 1459314

GCF of denominators i.e. for 688,423 is 1.

Thus, LCM of Fractions is 1459314.Finally, LCM of Fractions for 5814/688, 4267/423 is 1459314.