Least Common Multiple of 229/42, 823/16, 658/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/42, 823/16, 658/89 quickly i.e. 124011286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/42, 823/16, 658/89 is 124011286.

LCM(229/42, 823/16, 658/89) = 124011286

LCM of 229/42, 823/16, 658/89

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 229/42,823/16,658/89

Given numbers are 229/42,823/16,658/89

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 229,823,658

Least Common Multiple of Numerators i.e. LCM of 229,823,658 is 124011286.

GCF of Denominators means GCF of 42,16,89 as per the given fractions.

GCF of 42,16,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,823,658

LCM of Fractions 229/42,823/16,658/89 is 124011286

Given numbers has no common factors except 1. So, there LCM is their product i.e 124011286

Least Common Multiple of 229,823,658 with GCF Formula

Least Common Multiple of 229,823,658 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 229,823,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,823,658) = 1

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

GCF(229,823,658) x common factors =1 x 1 = 1

LCM(229,823,658) = ( 229 × 823 × 658 ) / 1

LCM(229,823,658) = 124011286 / 1

LCM(229,823,658) = 124011286


Lets's calculate GCF of 42,16,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124011286/1

Therefore the LCM of Fractions 229/42,823/16,658/89 is 124011286

Greatest Common Factor of 42,16,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,16,89 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 16

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

1,2,4,8,16

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 42,16,89 . The biggest common factor number is the GCF number.
So the greatest common factor 42,16,89 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 229/42, 823/16, 658/89

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 229/42, 823/16, 658/89?

Answer: LCM of Numerators as per given numbers 229/42, 823/16, 658/89 is

LCM of Numerators i.e. for 229,823,658 is 124011286

GCF of denominators i.e. for 42,16,89 is 1.

Thus, LCM of Fractions is 124011286.Finally, LCM of Fractions for 229/42, 823/16, 658/89 is 124011286.