Given numbers are 296,592,305,396,475

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

The LCM of 296,592,305,396,475 is 1698166800.

Find LCM of 296,592,305,396,475 with Prime Factorization

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

2 x 2 x 2 x 5 x 37 x 1 x 2 x 61 x 99 x 95 = 1698166800

Therefore, the lowest common multiple of 296,592,305,396,475 is 1698166800.

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.

296 x 592 x 305 x 396 x 475 = 10053147456000

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.

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

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

305 : 1, 5, 61, 305

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,592,305,396,475, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

592:2x 2x 2x 2x 37

305:5x 61

396:2x 2x 3x 3x 11

475:5x 5x 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 2x 2x 5x 37 = 5920

Therefore, the value for common factors is 5920.

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 = 10053147456000/(1x5920)

LCM = 10053147456000/5920

LCM = 1698166800

Thus, we can understand that the LCM of 296,592,305,396,475 is 1698166800.

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

• LCM of 725, 752, 815, 879, 636
• LCM of 570, 573, 270, 707, 769
• LCM of 621, 959, 386, 518, 189
• LCM of 934, 969, 253, 742, 374
• LCM of 390, 898, 469, 306, 662

1. What is the LCM of 296, 592, 305, 396, 475?

Answer: LCM of 296, 592, 305, 396, 475 is 1698166800.

2. How to calculate the LCM of 296, 592, 305, 396, 475?

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 296, 592, 305, 396, 475.

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}.