Given numbers are 262,764,772,814

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

The LCM of 262,764,772,814 is 7861698284.

Find LCM of 262,764,772,814 with Prime Factorization

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

2 x 2 x 131 x 191 x 193 x 407 = 7861698284

Therefore, the lowest common multiple of 262,764,772,814 is 7861698284.

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.

262 x 764 x 772 x 814 = 125787172544

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.

262 : 1, 2, 131, 262

764 : 1, 2, 4, 191, 382, 764

772 : 1, 2, 4, 193, 386, 772

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,764,772,814, is 2.

Now, the common factors can be found like this.

262:2x 131

764:2x 2x 191

772:2x 2x 193

814:2x 11x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 125787172544/(2x8)

LCM = 125787172544/16

LCM = 7861698284

Thus, we can understand that the LCM of 262,764,772,814 is 7861698284.

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

• LCM of 962, 505, 552, 884
• LCM of 909, 738, 540, 698
• LCM of 970, 482, 429, 131
• LCM of 823, 670, 798, 187
• LCM of 733, 783, 144, 528

1. What is the LCM of 262, 764, 772, 814?

Answer: LCM of 262, 764, 772, 814 is 7861698284.

2. How to calculate the LCM of 262, 764, 772, 814?

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 262, 764, 772, 814.

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}.