Given numbers are 456,389,304,811

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

The LCM of 456,389,304,811 is 287716848.

Find LCM of 456,389,304,811 with Prime Factorization

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

2 x 2 x 2 x 19 x 3 x 389 x 2 x 811 = 287716848

Therefore, the lowest common multiple of 456,389,304,811 is 287716848.

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 389 x 304 x 811 = 43732960896

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

389 : 1, 389

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,389,304,811, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

389:389

304:2x 2x 2x 2x 19

811:811

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 19 = 152

Therefore, the value for common factors is 152.

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 = 43732960896/(1x152)

LCM = 43732960896/152

LCM = 287716848

Thus, we can understand that the LCM of 456,389,304,811 is 287716848.

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

• LCM of 931, 333, 367, 756
• LCM of 482, 575, 625, 714
• LCM of 900, 300, 307, 428
• LCM of 380, 945, 500, 652
• LCM of 927, 592, 304, 182

1. What is the LCM of 456, 389, 304, 811?

Answer: LCM of 456, 389, 304, 811 is 287716848.

2. How to calculate the LCM of 456, 389, 304, 811?

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, 389, 304, 811.

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}.