Given numbers are 456,964,382,514

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

The LCM of 456,964,382,514 is 5394464952.

Find LCM of 456,964,382,514 with Prime Factorization

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

2 x 2 x 114 x 241 x 191 x 257 = 5394464952

Therefore, the lowest common multiple of 456,964,382,514 is 5394464952.

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.

456 x 964 x 382 x 514 = 86311439232

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

964 : 1, 2, 4, 241, 482, 964

382 : 1, 2, 191, 382

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,964,382,514, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

964:2x 2x 241

382:2x 191

514:2x 257

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 = 86311439232/(2x8)

LCM = 86311439232/16

LCM = 5394464952

Thus, we can understand that the LCM of 456,964,382,514 is 5394464952.

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

• LCM of 883, 820, 880, 692
• LCM of 168, 597, 165, 290
• LCM of 507, 174, 693, 191
• LCM of 817, 493, 479, 666
• LCM of 487, 636, 737, 379

1. What is the LCM of 456, 964, 382, 514?

Answer: LCM of 456, 964, 382, 514 is 5394464952.

2. How to calculate the LCM of 456, 964, 382, 514?

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 456, 964, 382, 514.

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}.