Given numbers are 456,114,634,475

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

The LCM of 456,114,634,475 is 3613800.

Find LCM of 456,114,634,475 with Prime Factorization

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

2 x 3 x 19 x 4 x 1 x 317 x 25 = 3613800

Therefore, the lowest common multiple of 456,114,634,475 is 3613800.

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 114 x 634 x 475 = 15654981600

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

634 : 1, 2, 317, 634

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,114,634,475, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

114:2x 3x 19

634:2x 317

475:5x 5x 19

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 3x 19x 19 = 4332

Therefore, the value for common factors is 4332.

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 = 15654981600/(1x4332)

LCM = 15654981600/4332

LCM = 3613800

Thus, we can understand that the LCM of 456,114,634,475 is 3613800.

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

• LCM of 917, 354, 223, 447
• LCM of 718, 933, 333, 291
• LCM of 331, 886, 478, 206
• LCM of 459, 345, 207, 487
• LCM of 376, 795, 891, 834

1. What is the LCM of 456, 114, 634, 475?

Answer: LCM of 456, 114, 634, 475 is 3613800.

2. How to calculate the LCM of 456, 114, 634, 475?

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, 114, 634, 475.

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}.