Given numbers are 214,642,915,462,387

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

The LCM of 214,642,915,462,387 is 1944980730.

Find LCM of 214,642,915,462,387 with Prime Factorization

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

2 x 3 x 107 x 1 x 1 x 305 x 77 x 129 = 1944980730

Therefore, the lowest common multiple of 214,642,915,462,387 is 1944980730.

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 642 x 915 x 462 x 387 = 22476197315880

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

915 : 1, 3, 5, 15, 61, 183, 305, 915

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,642,915,462,387, is 1.

Now, the common factors can be found like this.

214:2x 107

642:2x 3x 107

915:3x 5x 61

462:2x 3x 7x 11

387:3x 3x 43

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 3x 3x 3x 107 = 11556

Therefore, the value for common factors is 11556.

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 = 22476197315880/(1x11556)

LCM = 22476197315880/11556

LCM = 1944980730

Thus, we can understand that the LCM of 214,642,915,462,387 is 1944980730.

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

• LCM of 333, 178, 620, 779, 682
• LCM of 315, 571, 392, 185, 358
• LCM of 186, 368, 172, 657, 326
• LCM of 739, 329, 375, 122, 415
• LCM of 164, 411, 980, 659, 859

1. What is the LCM of 214, 642, 915, 462, 387?

Answer: LCM of 214, 642, 915, 462, 387 is 1944980730.

2. How to calculate the LCM of 214, 642, 915, 462, 387?

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, 642, 915, 462, 387.

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}.