Given numbers are 361,141,808,456

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

The LCM of 361,141,808,456 is 41128008.

Find LCM of 361,141,808,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 1 x 47 x 101 x 19 = 41128008

Therefore, the lowest common multiple of 361,141,808,456 is 41128008.

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.

361 x 141 x 808 x 456 = 18754371648

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.

361 : 1, 19, 361

141 : 1, 3, 47, 141

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,141,808,456, is 1.

Now, the common factors can be found like this.

361:19x 19

141:3x 47

808:2x 2x 2x 101

456:2x 2x 2x 3x 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 2x 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 18754371648/(1x456)

LCM = 18754371648/456

LCM = 41128008

Thus, we can understand that the LCM of 361,141,808,456 is 41128008.

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

• LCM of 869, 159, 442, 815
• LCM of 291, 449, 613, 891
• LCM of 333, 648, 532, 665
• LCM of 443, 314, 561, 105
• LCM of 895, 914, 508, 933

1. What is the LCM of 361, 141, 808, 456?

Answer: LCM of 361, 141, 808, 456 is 41128008.

2. How to calculate the LCM of 361, 141, 808, 456?

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 361, 141, 808, 456.

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}.