Given numbers are 214,255,617,580

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

The LCM of 214,255,617,580 is 1952842020.

Find LCM of 214,255,617,580 with Prime Factorization

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

2 x 5 x 107 x 51 x 617 x 58 = 1952842020

Therefore, the lowest common multiple of 214,255,617,580 is 1952842020.

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.

214 x 255 x 617 x 580 = 19528420200

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.

214 : 1, 2, 107, 214

255 : 1, 3, 5, 15, 17, 51, 85, 255

617 : 1, 617

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,255,617,580, is 1.

Now, the common factors can be found like this.

214:2x 107

255:3x 5x 17

617:617

580:2x 2x 5x 29

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 19528420200/(1x10)

LCM = 19528420200/10

LCM = 1952842020

Thus, we can understand that the LCM of 214,255,617,580 is 1952842020.

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

• LCM of 267, 334, 191, 846
• LCM of 321, 372, 601, 214
• LCM of 790, 341, 516, 805
• LCM of 987, 626, 575, 960
• LCM of 477, 606, 957, 905

1. What is the LCM of 214, 255, 617, 580?

Answer: LCM of 214, 255, 617, 580 is 1952842020.

2. How to calculate the LCM of 214, 255, 617, 580?

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 214, 255, 617, 580.

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}.