Given numbers are 214,667,199,812

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

The LCM of 214,667,199,812 is 397668068.

Find LCM of 214,667,199,812 with Prime Factorization

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

2 x 29 x 107 x 23 x 199 x 14 = 397668068

Therefore, the lowest common multiple of 214,667,199,812 is 397668068.

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 667 x 199 x 812 = 23064747944

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

667 : 1, 23, 29, 667

199 : 1, 199

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,667,199,812, is 1.

Now, the common factors can be found like this.

214:2x 107

667:23x 29

199:199

812:2x 2x 7x 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 29 = 58

Therefore, the value for common factors is 58.

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 = 23064747944/(1x58)

LCM = 23064747944/58

LCM = 397668068

Thus, we can understand that the LCM of 214,667,199,812 is 397668068.

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

• LCM of 868, 356, 334, 395
• LCM of 569, 908, 357, 878
• LCM of 399, 424, 173, 684
• LCM of 222, 858, 508, 521
• LCM of 495, 854, 650, 801

1. What is the LCM of 214, 667, 199, 812?

Answer: LCM of 214, 667, 199, 812 is 397668068.

2. How to calculate the LCM of 214, 667, 199, 812?

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, 667, 199, 812.

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}.