Least Common Multiple of 448/567, 687/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/567, 687/588 quickly i.e. 14656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/567, 687/588 is 14656.

LCM(448/567, 687/588) = 14656

LCM of 448/567, 687/588

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 448/567,687/588

Given numbers are 448/567,687/588

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 448,687

Least Common Multiple of Numerators i.e. LCM of 448,687 is 307776.

GCF of Denominators means GCF of 567,588 as per the given fractions.

GCF of 567,588 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,687

LCM of Fractions 448/567,687/588 is 14656

Given numbers has no common factors except 1. So, there LCM is their product i.e 307776

Least Common Multiple of 448,687 with GCF Formula

Least Common Multiple of 448,687 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 448,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,687) = 1

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

GCF(448,687) x common factors =1 x 1 = 1

LCM(448,687) = ( 448 × 687 ) / 1

LCM(448,687) = 307776 / 1

LCM(448,687) = 307776


Lets's calculate GCF of 567,588

3 567, 588
7 189, 196
27, 28

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307776/21

Therefore the LCM of Fractions 448/567,687/588 is 14656

Greatest Common Factor of 567,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,588 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 567,588 . The biggest common factor number is the GCF number.
So the greatest common factor 567,588 is 21.


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 448/567, 687/588

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 448/567, 687/588?

Answer: LCM of Numerators as per given numbers 448/567, 687/588 is

LCM of Numerators i.e. for 448,687 is 307776

GCF of denominators i.e. for 567,588 is 21.

Thus, LCM of Fractions is 14656.Finally, LCM of Fractions for 448/567, 687/588 is 14656.