Given numbers are 314,178,328,405,690

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

The LCM of 314,178,328,405,690 is 42691986360.

Find LCM of 314,178,328,405,690 with Prime Factorization

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

2 x 3 x 5 x 157 x 89 x 164 x 27 x 23 = 42691986360

Therefore, the lowest common multiple of 314,178,328,405,690 is 42691986360.

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.

314 x 178 x 328 x 405 x 690 = 5123038363200

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.

314 : 1, 2, 157, 314

178 : 1, 2, 89, 178

328 : 1, 2, 4, 8, 41, 82, 164, 328

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,178,328,405,690, is 1.

Now, the common factors can be found like this.

314:2x 157

178:2x 89

328:2x 2x 2x 41

405:3x 3x 3x 3x 5

690:2x 3x 5x 23

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 5123038363200/(1x120)

LCM = 5123038363200/120

LCM = 42691986360

Thus, we can understand that the LCM of 314,178,328,405,690 is 42691986360.

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

• LCM of 510, 905, 839, 257, 204
• LCM of 858, 446, 478, 853, 611
• LCM of 584, 846, 206, 698, 311
• LCM of 961, 582, 869, 356, 118
• LCM of 576, 959, 454, 494, 923

1. What is the LCM of 314, 178, 328, 405, 690?

Answer: LCM of 314, 178, 328, 405, 690 is 42691986360.

2. How to calculate the LCM of 314, 178, 328, 405, 690?

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 314, 178, 328, 405, 690.

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}.