Given numbers are 493,777,480,545,330

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

The LCM of 493,777,480,545,330 is 73486422240.

Find LCM of 493,777,480,545,330 with Prime Factorization

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

2 x 3 x 5 x 493 x 259 x 16 x 109 x 11 = 73486422240

Therefore, the lowest common multiple of 493,777,480,545,330 is 73486422240.

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.

493 x 777 x 480 x 545 x 330 = 33068890008000

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.

493 : 1, 17, 29, 493

777 : 1, 3, 7, 21, 37, 111, 259, 777

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

545 : 1, 5, 109, 545

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,777,480,545,330, is 1.

Now, the common factors can be found like this.

493:17x 29

777:3x 7x 37

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

545:5x 109

330:2x 3x 5x 11

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 33068890008000/(1x450)

LCM = 33068890008000/450

LCM = 73486422240

Thus, we can understand that the LCM of 493,777,480,545,330 is 73486422240.

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

• LCM of 627, 224, 575, 629, 759
• LCM of 114, 237, 992, 706, 878
• LCM of 995, 376, 116, 283, 179
• LCM of 404, 728, 507, 449, 355
• LCM of 109, 161, 112, 247, 372

1. What is the LCM of 493, 777, 480, 545, 330?

Answer: LCM of 493, 777, 480, 545, 330 is 73486422240.

2. How to calculate the LCM of 493, 777, 480, 545, 330?

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 493, 777, 480, 545, 330.

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}.