Given numbers are 796,468,508,214

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

The LCM of 796,468,508,214 is 1265570748.

Find LCM of 796,468,508,214 with Prime Factorization

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

2 x 2 x 199 x 117 x 127 x 107 = 1265570748

Therefore, the lowest common multiple of 796,468,508,214 is 1265570748.

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.

796 x 468 x 508 x 214 = 40498263936

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.

796 : 1, 2, 4, 199, 398, 796

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

508 : 1, 2, 4, 127, 254, 508

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,468,508,214, is 2.

Now, the common factors can be found like this.

796:2x 2x 199

468:2x 2x 3x 3x 13

508:2x 2x 127

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 40498263936/(2x16)

LCM = 40498263936/32

LCM = 1265570748

Thus, we can understand that the LCM of 796,468,508,214 is 1265570748.

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

• LCM of 536, 552, 507, 798
• LCM of 568, 843, 441, 183
• LCM of 683, 290, 127, 883
• LCM of 620, 571, 313, 254
• LCM of 911, 502, 820, 172

1. What is the LCM of 796, 468, 508, 214?

Answer: LCM of 796, 468, 508, 214 is 1265570748.

2. How to calculate the LCM of 796, 468, 508, 214?

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 796, 468, 508, 214.

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}.