Given numbers are 214,487,482,468,869

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

The LCM of 214,487,482,468,869 is 5107347536148.

Find LCM of 214,487,482,468,869 with Prime Factorization

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

2 x 107 x 487 x 241 x 234 x 869 = 5107347536148

Therefore, the lowest common multiple of 214,487,482,468,869 is 5107347536148.

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 487 x 482 x 468 x 869 = 20429390144592

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

487 : 1, 487

482 : 1, 2, 241, 482

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,487,482,468,869, is 1.

Now, the common factors can be found like this.

214:2x 107

487:487

482:2x 241

468:2x 2x 3x 3x 13

869:11x 79

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 = 20429390144592/(1x4)

LCM = 20429390144592/4

LCM = 5107347536148

Thus, we can understand that the LCM of 214,487,482,468,869 is 5107347536148.

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

• LCM of 336, 616, 484, 519, 586
• LCM of 546, 626, 786, 513, 580
• LCM of 266, 869, 443, 493, 670
• LCM of 847, 455, 661, 982, 830
• LCM of 119, 134, 290, 353, 458

1. What is the LCM of 214, 487, 482, 468, 869?

Answer: LCM of 214, 487, 482, 468, 869 is 5107347536148.

2. How to calculate the LCM of 214, 487, 482, 468, 869?

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, 487, 482, 468, 869.

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}.