Given numbers are 768,480,790,595,149

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

The LCM of 768,480,790,595,149 is 5378876160.

Find LCM of 768,480,790,595,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 8 x 1 x 79 x 119 x 149 = 5378876160

Therefore, the lowest common multiple of 768,480,790,595,149 is 5378876160.

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.

768 x 480 x 790 x 595 x 149 = 25818605568000

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

790 : 1, 2, 5, 10, 79, 158, 395, 790

595 : 1, 5, 7, 17, 35, 85, 119, 595

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,480,790,595,149, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

480:2x 2x 2x 2x 2x 3x 5

790:2x 5x 79

595:5x 7x 17

149:149

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 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 25818605568000/(1x4800)

LCM = 25818605568000/4800

LCM = 5378876160

Thus, we can understand that the LCM of 768,480,790,595,149 is 5378876160.

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

• LCM of 759, 223, 573, 721, 422
• LCM of 410, 152, 368, 359, 499
• LCM of 764, 565, 616, 742, 878
• LCM of 508, 850, 722, 160, 375
• LCM of 331, 314, 531, 866, 774

1. What is the LCM of 768, 480, 790, 595, 149?

Answer: LCM of 768, 480, 790, 595, 149 is 5378876160.

2. How to calculate the LCM of 768, 480, 790, 595, 149?

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 768, 480, 790, 595, 149.

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}.