Given numbers are 214,406,696,812

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

The LCM of 214,406,696,812 is 521304.

Find LCM of 214,406,696,812 with Prime Factorization

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

2 x 2 x 7 x 29 x 107 x 1 x 6 x 1 = 521304

Therefore, the lowest common multiple of 214,406,696,812 is 521304.

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 406 x 696 x 812 = 49102666368

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,406,696,812, is 2.

Now, the common factors can be found like this.

214:2x 107

406:2x 7x 29

696:2x 2x 2x 3x 29

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 2x 2x 7x 29x 29 = 47096

Therefore, the value for common factors is 47096.

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 = 49102666368/(2x47096)

LCM = 49102666368/94192

LCM = 521304

Thus, we can understand that the LCM of 214,406,696,812 is 521304.

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

• LCM of 704, 105, 754, 207
• LCM of 831, 577, 837, 520
• LCM of 115, 667, 298, 393
• LCM of 536, 161, 536, 673
• LCM of 175, 517, 864, 845

1. What is the LCM of 214, 406, 696, 812?

Answer: LCM of 214, 406, 696, 812 is 521304.

2. How to calculate the LCM of 214, 406, 696, 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, 406, 696, 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}.