Given numbers are 596,664,720,264

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

The LCM of 596,664,720,264 is 97946640.

Find LCM of 596,664,720,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 149 x 83 x 30 x 11 = 97946640

Therefore, the lowest common multiple of 596,664,720,264 is 97946640.

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.

596 x 664 x 720 x 264 = 75223019520

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.

596 : 1, 2, 4, 149, 298, 596

664 : 1, 2, 4, 8, 83, 166, 332, 664

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,664,720,264, is 4.

Now, the common factors can be found like this.

596:2x 2x 149

664:2x 2x 2x 83

720:2x 2x 2x 2x 3x 3x 5

264:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 75223019520/(4x192)

LCM = 75223019520/768

LCM = 97946640

Thus, we can understand that the LCM of 596,664,720,264 is 97946640.

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

• LCM of 251, 450, 416, 982
• LCM of 676, 385, 269, 442
• LCM of 674, 672, 297, 227
• LCM of 158, 467, 505, 716
• LCM of 331, 939, 735, 986

1. What is the LCM of 596, 664, 720, 264?

Answer: LCM of 596, 664, 720, 264 is 97946640.

2. How to calculate the LCM of 596, 664, 720, 264?

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 596, 664, 720, 264.

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}.