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LCM of 353, 936, 208, 864

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


Find the LCM of 353, 936, 208, 864 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 353, 936, 208, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,936,208,864

Given numbers are 353,936,208,864

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

The LCM of 353,936,208,864 is 3964896.

Find LCM of 353,936,208,864 with Prime Factorization


2 353, 936, 208, 864
2 353, 468, 104, 432
2 353, 234, 52, 216
2 353, 117, 26, 108
3 353, 117, 13, 54
3 353, 39, 13, 18
13 353, 13, 13, 6
353, 1, 1, 6

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

2 x 2 x 2 x 2 x 3 x 3 x 13 x 353 x 1 x 1 x 6 = 3964896

Therefore, the lowest common multiple of 353,936,208,864 is 3964896.

LCM Formula to Find Lowest Common Multiple of 353,936,208,864

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.

353 x 936 x 208 x 864 = 59378282496

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.

353 : 1, 353

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,936,208,864, is 1.

Now, the common factors can be found like this.

353:353

936:2x 2x 2x 3x 3x 13

208:2x 2x 2x 2x 13

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 2x 3x 3x 13 = 14976

Therefore, the value for common factors is 14976.

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 = 59378282496/(1x14976)

LCM = 59378282496/14976

LCM = 3964896

Thus, we can understand that the LCM of 353,936,208,864 is 3964896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 936, 208, 864

1. What is the LCM of 353, 936, 208, 864?

Answer: LCM of 353, 936, 208, 864 is 3964896.

2. How to calculate the LCM of 353, 936, 208, 864?

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 353, 936, 208, 864.

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}.