Given numbers are 338,592,133,360

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

The LCM of 338,592,133,360 is 598787280.

Find LCM of 338,592,133,360 with Prime Factorization

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

2 x 2 x 2 x 169 x 74 x 133 x 45 = 598787280

Therefore, the lowest common multiple of 338,592,133,360 is 598787280.

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.

338 x 592 x 133 x 360 = 9580596480

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.

338 : 1, 2, 13, 26, 169, 338

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

133 : 1, 7, 19, 133

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,592,133,360, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

592:2x 2x 2x 2x 37

133:7x 19

360:2x 2x 2x 3x 3x 5

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 = 9580596480/(1x16)

LCM = 9580596480/16

LCM = 598787280

Thus, we can understand that the LCM of 338,592,133,360 is 598787280.

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

• LCM of 447, 269, 341, 523
• LCM of 139, 296, 698, 807
• LCM of 185, 426, 407, 743
• LCM of 988, 118, 155, 559
• LCM of 111, 234, 778, 699

1. What is the LCM of 338, 592, 133, 360?

Answer: LCM of 338, 592, 133, 360 is 598787280.

2. How to calculate the LCM of 338, 592, 133, 360?

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 338, 592, 133, 360.

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}.