Given numbers are 592,348,264,804

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

The LCM of 592,348,264,804 is 37958448.

Find LCM of 592,348,264,804 with Prime Factorization

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

2 x 2 x 2 x 3 x 74 x 29 x 11 x 67 = 37958448

Therefore, the lowest common multiple of 592,348,264,804 is 37958448.

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.

592 x 348 x 264 x 804 = 43728132096

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,348,264,804, is 4.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

348:2x 2x 3x 29

264:2x 2x 2x 3x 11

804:2x 2x 3x 67

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 43728132096/(4x288)

LCM = 43728132096/1152

LCM = 37958448

Thus, we can understand that the LCM of 592,348,264,804 is 37958448.

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

• LCM of 429, 696, 520, 489
• LCM of 839, 940, 862, 994
• LCM of 927, 637, 970, 339
• LCM of 684, 952, 588, 413
• LCM of 228, 480, 167, 472

1. What is the LCM of 592, 348, 264, 804?

Answer: LCM of 592, 348, 264, 804 is 37958448.

2. How to calculate the LCM of 592, 348, 264, 804?

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 592, 348, 264, 804.

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}.