Given numbers are 755,160,106,125,509

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

The LCM of 755,160,106,125,509 is 16294108000.

Find LCM of 755,160,106,125,509 with Prime Factorization

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

2 x 5 x 151 x 16 x 53 x 25 x 509 = 16294108000

Therefore, the lowest common multiple of 755,160,106,125,509 is 16294108000.

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.

755 x 160 x 106 x 125 x 509 = 814705400000

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.

755 : 1, 5, 151, 755

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

106 : 1, 2, 53, 106

125 : 1, 5, 25, 125

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,160,106,125,509, is 1.

Now, the common factors can be found like this.

755:5x 151

160:2x 2x 2x 2x 2x 5

106:2x 53

125:5x 5x 5

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 814705400000/(1x50)

LCM = 814705400000/50

LCM = 16294108000

Thus, we can understand that the LCM of 755,160,106,125,509 is 16294108000.

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

• LCM of 584, 284, 450, 220, 304
• LCM of 632, 782, 239, 849, 245
• LCM of 721, 266, 708, 667, 103
• LCM of 333, 446, 927, 536, 315
• LCM of 947, 856, 763, 500, 766

1. What is the LCM of 755, 160, 106, 125, 509?

Answer: LCM of 755, 160, 106, 125, 509 is 16294108000.

2. How to calculate the LCM of 755, 160, 106, 125, 509?

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 755, 160, 106, 125, 509.

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}.