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LCM of 299, 384, 136, 463, 935

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


Find the LCM of 299, 384, 136, 463, 935 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, 384, 136, 463, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,384,136,463,935

Given numbers are 299,384,136,463,935

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

The LCM of 299,384,136,463,935 is 49704420480.

Find LCM of 299,384,136,463,935 with Prime Factorization


2 299, 384, 136, 463, 935
2 299, 192, 68, 463, 935
2 299, 96, 34, 463, 935
17 299, 48, 17, 463, 935
299, 48, 1, 463, 55

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

2 x 2 x 2 x 17 x 299 x 48 x 1 x 463 x 55 = 49704420480

Therefore, the lowest common multiple of 299,384,136,463,935 is 49704420480.

LCM Formula to Find Lowest Common Multiple of 299,384,136,463,935

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 384 x 136 x 463 x 935 = 6759801185280

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

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

136 : 1, 2, 4, 8, 17, 34, 68, 136

463 : 1, 463

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,384,136,463,935, is 1.

Now, the common factors can be found like this.

299:13x 23

384:2x 2x 2x 2x 2x 2x 2x 3

136:2x 2x 2x 17

463:463

935:5x 11x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 6759801185280/(1x136)

LCM = 6759801185280/136

LCM = 49704420480

Thus, we can understand that the LCM of 299,384,136,463,935 is 49704420480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 384, 136, 463, 935

1. What is the LCM of 299, 384, 136, 463, 935?

Answer: LCM of 299, 384, 136, 463, 935 is 49704420480.

2. How to calculate the LCM of 299, 384, 136, 463, 935?

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, 384, 136, 463, 935.

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}.