Given numbers are 338,678,206,391,608

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

The LCM of 338,678,206,391,608 is 1402826509344.

Find LCM of 338,678,206,391,608 with Prime Factorization

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

2 x 169 x 339 x 103 x 391 x 304 = 1402826509344

Therefore, the lowest common multiple of 338,678,206,391,608 is 1402826509344.

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.

338 x 678 x 206 x 391 x 608 = 11222612074752

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.

338 : 1, 2, 13, 26, 169, 338

678 : 1, 2, 3, 6, 113, 226, 339, 678

206 : 1, 2, 103, 206

391 : 1, 17, 23, 391

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,678,206,391,608, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

678:2x 3x 113

206:2x 103

391:17x 23

608:2x 2x 2x 2x 2x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11222612074752/(1x8)

LCM = 11222612074752/8

LCM = 1402826509344

Thus, we can understand that the LCM of 338,678,206,391,608 is 1402826509344.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 469, 974, 819, 699, 875
• LCM of 715, 557, 418, 468, 982
• LCM of 978, 334, 633, 568, 993
• LCM of 699, 753, 947, 862, 662
• LCM of 246, 850, 816, 184, 479

1. What is the LCM of 338, 678, 206, 391, 608?

Answer: LCM of 338, 678, 206, 391, 608 is 1402826509344.

2. How to calculate the LCM of 338, 678, 206, 391, 608?

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 338, 678, 206, 391, 608.

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}.