Given numbers are 578,793,294,288

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

The LCM of 578,793,294,288 is 3234145824.

Find LCM of 578,793,294,288 with Prime Factorization

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

2 x 3 x 289 x 793 x 49 x 48 = 3234145824

Therefore, the lowest common multiple of 578,793,294,288 is 3234145824.

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.

578 x 793 x 294 x 288 = 38809749888

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.

578 : 1, 2, 17, 34, 289, 578

793 : 1, 13, 61, 793

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,793,294,288, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

793:13x 61

294:2x 3x 7x 7

288:2x 2x 2x 2x 2x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 38809749888/(1x12)

LCM = 38809749888/12

LCM = 3234145824

Thus, we can understand that the LCM of 578,793,294,288 is 3234145824.

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

• LCM of 779, 947, 407, 928
• LCM of 973, 581, 976, 932
• LCM of 157, 173, 452, 425
• LCM of 437, 726, 396, 579
• LCM of 465, 585, 416, 841

1. What is the LCM of 578, 793, 294, 288?

Answer: LCM of 578, 793, 294, 288 is 3234145824.

2. How to calculate the LCM of 578, 793, 294, 288?

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 578, 793, 294, 288.

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}.