Least Common Multiple of 647/458, 1683/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 647/458, 1683/687 quickly i.e. 1088901/229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/458, 1683/687 is 1088901/229.

LCM(647/458, 1683/687) = 1088901/229

LCM of 647/458, 1683/687

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 647/458,1683/687

Given numbers are 647/458,1683/687

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 647,1683

Least Common Multiple of Numerators i.e. LCM of 647,1683 is 1088901.

GCF of Denominators means GCF of 458,687 as per the given fractions.

GCF of 458,687 is 229 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,1683

LCM of Fractions 647/458,1683/687 is 1088901/229

Given numbers has no common factors except 1. So, there LCM is their product i.e 1088901

Least Common Multiple of 647,1683 with GCF Formula

Least Common Multiple of 647,1683 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 647,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,1683) = 1

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

GCF(647,1683) x common factors =1 x 1 = 1

LCM(647,1683) = ( 647 × 1683 ) / 1

LCM(647,1683) = 1088901 / 1

LCM(647,1683) = 1088901


Lets's calculate GCF of 458,687

229 458, 687
2, 3

∴ So the GCF of the given numbers is 229 = 229

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1088901/229

Therefore the LCM of Fractions 647/458,1683/687 is 1088901/229

Greatest Common Factor of 458,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,687 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 458,687 . The biggest common factor number is the GCF number.
So the greatest common factor 458,687 is 229.


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 647/458, 1683/687

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 647/458, 1683/687?

Answer: LCM of Numerators as per given numbers 647/458, 1683/687 is

LCM of Numerators i.e. for 647,1683 is 1088901

GCF of denominators i.e. for 458,687 is 229.

Thus, LCM of Fractions is 1088901/229.Finally, LCM of Fractions for 647/458, 1683/687 is 1088901/229.