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LCM of 336, 646, 578, 288

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


Find the LCM of 336, 646, 578, 288 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 336, 646, 578, 288. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 336,646,578,288

Given numbers are 336,646,578,288

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

The LCM of 336,646,578,288 is 11069856.

Find LCM of 336,646,578,288 with Prime Factorization


2 336, 646, 578, 288
2 168, 323, 289, 144
2 84, 323, 289, 72
2 42, 323, 289, 36
3 21, 323, 289, 18
17 7, 323, 289, 6
7, 19, 17, 6

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

2 x 2 x 2 x 2 x 3 x 17 x 7 x 19 x 17 x 6 = 11069856

Therefore, the lowest common multiple of 336,646,578,288 is 11069856.

LCM Formula to Find Lowest Common Multiple of 336,646,578,288

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.

336 x 646 x 578 x 288 = 36132009984

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

578 : 1, 2, 17, 34, 289, 578

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,646,578,288, is 2.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

646:2x 17x 19

578:2x 17x 17

288:2x 2x 2x 2x 2x 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 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 36132009984/(2x1632)

LCM = 36132009984/3264

LCM = 11069856

Thus, we can understand that the LCM of 336,646,578,288 is 11069856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 336, 646, 578, 288

1. What is the LCM of 336, 646, 578, 288?

Answer: LCM of 336, 646, 578, 288 is 11069856.

2. How to calculate the LCM of 336, 646, 578, 288?

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 336, 646, 578, 288.

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}.