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LCM of 299, 646, 437, 308, 812

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


Find the LCM of 299, 646, 437, 308, 812 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, 437, 308, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,646,437,308,812

Given numbers are 299,646,437,308,812

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

The LCM of 299,646,437,308,812 is 862625764.

Find LCM of 299,646,437,308,812 with Prime Factorization


2 299, 646, 437, 308, 812
2 299, 323, 437, 154, 406
7 299, 323, 437, 77, 203
19 299, 323, 437, 11, 29
23 299, 17, 23, 11, 29
13, 17, 1, 11, 29

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

2 x 2 x 7 x 19 x 23 x 13 x 17 x 1 x 11 x 29 = 862625764

Therefore, the lowest common multiple of 299,646,437,308,812 is 862625764.

LCM Formula to Find Lowest Common Multiple of 299,646,437,308,812

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 437 x 308 x 812 = 21110177696608

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

437 : 1, 19, 23, 437

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,646,437,308,812, is 1.

Now, the common factors can be found like this.

299:13x 23

646:2x 17x 19

437:19x 23

308:2x 2x 7x 11

812:2x 2x 7x 29

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

2x 2x 2x 7x 19x 23 = 24472

Therefore, the value for common factors is 24472.

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 = 21110177696608/(1x24472)

LCM = 21110177696608/24472

LCM = 862625764

Thus, we can understand that the LCM of 299,646,437,308,812 is 862625764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 646, 437, 308, 812

1. What is the LCM of 299, 646, 437, 308, 812?

Answer: LCM of 299, 646, 437, 308, 812 is 862625764.

2. How to calculate the LCM of 299, 646, 437, 308, 812?

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, 437, 308, 812.

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}.