Given numbers are 278,394,395,738,164

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

The LCM of 278,394,395,738,164 is 15964836660.

Find LCM of 278,394,395,738,164 with Prime Factorization

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

2 x 41 x 139 x 197 x 395 x 9 x 2 = 15964836660

Therefore, the lowest common multiple of 278,394,395,738,164 is 15964836660.

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.

278 x 394 x 395 x 738 x 164 = 5236466424480

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.

278 : 1, 2, 139, 278

394 : 1, 2, 197, 394

395 : 1, 5, 79, 395

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,394,395,738,164, is 1.

Now, the common factors can be found like this.

278:2x 139

394:2x 197

395:5x 79

738:2x 3x 3x 41

164:2x 2x 41

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 41 = 328

Therefore, the value for common factors is 328.

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 = 5236466424480/(1x328)

LCM = 5236466424480/328

LCM = 15964836660

Thus, we can understand that the LCM of 278,394,395,738,164 is 15964836660.

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

• LCM of 608, 672, 182, 315, 458
• LCM of 825, 237, 133, 986, 408
• LCM of 467, 457, 803, 359, 387
• LCM of 168, 516, 823, 500, 520
• LCM of 508, 296, 625, 367, 543

1. What is the LCM of 278, 394, 395, 738, 164?

Answer: LCM of 278, 394, 395, 738, 164 is 15964836660.

2. How to calculate the LCM of 278, 394, 395, 738, 164?

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 278, 394, 395, 738, 164.

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}.