Given numbers are 570,365,900,120,794

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

The LCM of 570,365,900,120,794 is 991150200.

Find LCM of 570,365,900,120,794 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 73 x 15 x 2 x 397 = 991150200

Therefore, the lowest common multiple of 570,365,900,120,794 is 991150200.

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.

570 x 365 x 900 x 120 x 794 = 17840703600000

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

365 : 1, 5, 73, 365

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,365,900,120,794, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

365:5x 73

900:2x 2x 3x 3x 5x 5

120:2x 2x 2x 3x 5

794:2x 397

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 3x 3x 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 17840703600000/(1x18000)

LCM = 17840703600000/18000

LCM = 991150200

Thus, we can understand that the LCM of 570,365,900,120,794 is 991150200.

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

• LCM of 507, 865, 580, 782, 175
• LCM of 304, 328, 810, 966, 301
• LCM of 709, 728, 671, 634, 132
• LCM of 116, 876, 383, 733, 632
• LCM of 569, 728, 388, 140, 689

1. What is the LCM of 570, 365, 900, 120, 794?

Answer: LCM of 570, 365, 900, 120, 794 is 991150200.

2. How to calculate the LCM of 570, 365, 900, 120, 794?

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 570, 365, 900, 120, 794.

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}.