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LCM of 299, 646, 729, 429

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


Find the LCM of 299, 646, 729, 429 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 299, 646, 729, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,646,729,429

Given numbers are 299,646,729,429

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

The LCM of 299,646,729,429 is 1548901926.

Find LCM of 299,646,729,429 with Prime Factorization


3 299, 646, 729, 429
13 299, 646, 243, 143
23, 646, 243, 11

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

3 x 13 x 23 x 646 x 243 x 11 = 1548901926

Therefore, the lowest common multiple of 299,646,729,429 is 1548901926.

LCM Formula to Find Lowest Common Multiple of 299,646,729,429

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.

299 x 646 x 729 x 429 = 60407175114

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.

299 : 1, 13, 23, 299

646 : 1, 2, 17, 19, 34, 38, 323, 646

729 : 1, 3, 9, 27, 81, 243, 729

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,646,729,429, is 1.

Now, the common factors can be found like this.

299:13x 23

646:2x 17x 19

729:3x 3x 3x 3x 3x 3

429:3x 11x 13

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 60407175114/(1x39)

LCM = 60407175114/39

LCM = 1548901926

Thus, we can understand that the LCM of 299,646,729,429 is 1548901926.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 646, 729, 429

1. What is the LCM of 299, 646, 729, 429?

Answer: LCM of 299, 646, 729, 429 is 1548901926.

2. How to calculate the LCM of 299, 646, 729, 429?

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 299, 646, 729, 429.

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}.