Given numbers are 614,289,358,270

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

The LCM of 614,289,358,270 is 4287982590.

Find LCM of 614,289,358,270 with Prime Factorization

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

2 x 307 x 289 x 179 x 135 = 4287982590

Therefore, the lowest common multiple of 614,289,358,270 is 4287982590.

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.

614 x 289 x 358 x 270 = 17151930360

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.

614 : 1, 2, 307, 614

289 : 1, 17, 289

358 : 1, 2, 179, 358

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,289,358,270, is 1.

Now, the common factors can be found like this.

614:2x 307

289:17x 17

358:2x 179

270:2x 3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17151930360/(1x4)

LCM = 17151930360/4

LCM = 4287982590

Thus, we can understand that the LCM of 614,289,358,270 is 4287982590.

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

• LCM of 665, 879, 133, 407
• LCM of 391, 252, 737, 335
• LCM of 580, 152, 851, 532
• LCM of 854, 112, 555, 825
• LCM of 541, 894, 837, 628

1. What is the LCM of 614, 289, 358, 270?

Answer: LCM of 614, 289, 358, 270 is 4287982590.

2. How to calculate the LCM of 614, 289, 358, 270?

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 614, 289, 358, 270.

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}.