Least Common Multiple of 469/10, 227/6689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/10, 227/6689 quickly i.e. 106463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/10, 227/6689 is 106463.

LCM(469/10, 227/6689) = 106463

LCM of 469/10, 227/6689

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 469/10,227/6689

Given numbers are 469/10,227/6689

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 469,227

Least Common Multiple of Numerators i.e. LCM of 469,227 is 106463.

GCF of Denominators means GCF of 10,6689 as per the given fractions.

GCF of 10,6689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,227

LCM of Fractions 469/10,227/6689 is 106463

Given numbers has no common factors except 1. So, there LCM is their product i.e 106463

Least Common Multiple of 469,227 with GCF Formula

Least Common Multiple of 469,227 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 469,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,227) = 1

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

GCF(469,227) x common factors =1 x 1 = 1

LCM(469,227) = ( 469 × 227 ) / 1

LCM(469,227) = 106463 / 1

LCM(469,227) = 106463


Lets's calculate GCF of 10,6689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106463/1

Therefore the LCM of Fractions 469/10,227/6689 is 106463

Greatest Common Factor of 10,6689 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,6689 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1,6689

Greatest Common Factor

We found the factors 10,6689 . The biggest common factor number is the GCF number.
So the greatest common factor 10,6689 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 469/10, 227/6689

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 469/10, 227/6689?

Answer: LCM of Numerators as per given numbers 469/10, 227/6689 is

LCM of Numerators i.e. for 469,227 is 106463

GCF of denominators i.e. for 10,6689 is 1.

Thus, LCM of Fractions is 106463.Finally, LCM of Fractions for 469/10, 227/6689 is 106463.