Given numbers are 446,400,468,764

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

The LCM of 446,400,468,764 is 1993352400.

Find LCM of 446,400,468,764 with Prime Factorization

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

2 x 2 x 223 x 100 x 117 x 191 = 1993352400

Therefore, the lowest common multiple of 446,400,468,764 is 1993352400.

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.

446 x 400 x 468 x 764 = 63787276800

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.

446 : 1, 2, 223, 446

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,400,468,764, is 2.

Now, the common factors can be found like this.

446:2x 223

400:2x 2x 2x 2x 5x 5

468:2x 2x 3x 3x 13

764:2x 2x 191

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 = 63787276800/(2x16)

LCM = 63787276800/32

LCM = 1993352400

Thus, we can understand that the LCM of 446,400,468,764 is 1993352400.

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

• LCM of 470, 738, 519, 470
• LCM of 951, 256, 361, 596
• LCM of 852, 109, 231, 948
• LCM of 524, 105, 633, 792
• LCM of 546, 300, 486, 510

1. What is the LCM of 446, 400, 468, 764?

Answer: LCM of 446, 400, 468, 764 is 1993352400.

2. How to calculate the LCM of 446, 400, 468, 764?

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 446, 400, 468, 764.

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}.