Given numbers are 409,808,964,756

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

The LCM of 409,808,964,756 is 15052669128.

Find LCM of 409,808,964,756 with Prime Factorization

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

2 x 2 x 409 x 202 x 241 x 189 = 15052669128

Therefore, the lowest common multiple of 409,808,964,756 is 15052669128.

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.

409 x 808 x 964 x 756 = 240842706048

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.

409 : 1, 409

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,808,964,756, is 1.

Now, the common factors can be found like this.

409:409

808:2x 2x 2x 101

964:2x 2x 241

756:2x 2x 3x 3x 3x 7

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 = 240842706048/(1x16)

LCM = 240842706048/16

LCM = 15052669128

Thus, we can understand that the LCM of 409,808,964,756 is 15052669128.

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

• LCM of 493, 865, 530, 538
• LCM of 747, 308, 655, 685
• LCM of 362, 237, 315, 777
• LCM of 307, 243, 106, 955
• LCM of 448, 885, 820, 523

1. What is the LCM of 409, 808, 964, 756?

Answer: LCM of 409, 808, 964, 756 is 15052669128.

2. How to calculate the LCM of 409, 808, 964, 756?

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 409, 808, 964, 756.

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}.