Least Common Multiple of 679/16, 563/5631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/16, 563/5631 quickly i.e. 382277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/16, 563/5631 is 382277.

LCM(679/16, 563/5631) = 382277

LCM of 679/16, 563/5631

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 679/16,563/5631

Given numbers are 679/16,563/5631

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 679,563

Least Common Multiple of Numerators i.e. LCM of 679,563 is 382277.

GCF of Denominators means GCF of 16,5631 as per the given fractions.

GCF of 16,5631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,563

LCM of Fractions 679/16,563/5631 is 382277

Given numbers has no common factors except 1. So, there LCM is their product i.e 382277

Least Common Multiple of 679,563 with GCF Formula

Least Common Multiple of 679,563 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 679,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,563) = 1

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

GCF(679,563) x common factors =1 x 1 = 1

LCM(679,563) = ( 679 × 563 ) / 1

LCM(679,563) = 382277 / 1

LCM(679,563) = 382277


Lets's calculate GCF of 16,5631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382277/1

Therefore the LCM of Fractions 679/16,563/5631 is 382277

Greatest Common Factor of 16,5631 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5631 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 5631

List of positive integer factors of 5631 that divides 5631 without a remainder.

1,3,1877,5631

Greatest Common Factor

We found the factors 16,5631 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5631 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 679/16, 563/5631

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 679/16, 563/5631?

Answer: LCM of Numerators as per given numbers 679/16, 563/5631 is

LCM of Numerators i.e. for 679,563 is 382277

GCF of denominators i.e. for 16,5631 is 1.

Thus, LCM of Fractions is 382277.Finally, LCM of Fractions for 679/16, 563/5631 is 382277.