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LCM of 234, 815, 429, 447

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 234, 815, 429, 447 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 234, 815, 429, 447. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,815,429,447

Given numbers are 234,815,429,447

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 234,815,429,447 is 312573690.

Find LCM of 234,815,429,447 with Prime Factorization


3 234, 815, 429, 447
13 78, 815, 143, 149
6, 815, 11, 149

Multiply the prime numbers at the bottom and the left side.

3 x 13 x 6 x 815 x 11 x 149 = 312573690

Therefore, the lowest common multiple of 234,815,429,447 is 312573690.

LCM Formula to Find Lowest Common Multiple of 234,815,429,447

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

234 x 815 x 429 x 447 = 36571121730

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

815 : 1, 5, 163, 815

429 : 1, 3, 11, 13, 33, 39, 143, 429

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,815,429,447, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

815:5x 163

429:3x 11x 13

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 36571121730/(1x117)

LCM = 36571121730/117

LCM = 312573690

Thus, we can understand that the LCM of 234,815,429,447 is 312573690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 815, 429, 447

1. What is the LCM of 234, 815, 429, 447?

Answer: LCM of 234, 815, 429, 447 is 312573690.

2. How to calculate the LCM of 234, 815, 429, 447?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 234, 815, 429, 447.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.