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LCM of 299, 218, 847, 368, 218

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


Find the LCM of 299, 218, 847, 368, 218 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, 218, 847, 368, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,218,847,368,218

Given numbers are 299,218,847,368,218

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

The LCM of 299,218,847,368,218 is 441673232.

Find LCM of 299,218,847,368,218 with Prime Factorization


2 299, 218, 847, 368, 218
23 299, 109, 847, 184, 109
109 13, 109, 847, 8, 109
13, 1, 847, 8, 1

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

2 x 23 x 109 x 13 x 1 x 847 x 8 x 1 = 441673232

Therefore, the lowest common multiple of 299,218,847,368,218 is 441673232.

LCM Formula to Find Lowest Common Multiple of 299,218,847,368,218

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 218 x 847 x 368 x 218 = 4429099170496

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

218 : 1, 2, 109, 218

847 : 1, 7, 11, 77, 121, 847

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,218,847,368,218, is 1.

Now, the common factors can be found like this.

299:13x 23

218:2x 109

847:7x 11x 11

368:2x 2x 2x 2x 23

218:2x 109

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 23x 109 = 10028

Therefore, the value for common factors is 10028.

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 = 4429099170496/(1x10028)

LCM = 4429099170496/10028

LCM = 441673232

Thus, we can understand that the LCM of 299,218,847,368,218 is 441673232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 218, 847, 368, 218

1. What is the LCM of 299, 218, 847, 368, 218?

Answer: LCM of 299, 218, 847, 368, 218 is 441673232.

2. How to calculate the LCM of 299, 218, 847, 368, 218?

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, 218, 847, 368, 218.

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}.