Given numbers are 264,364,654,660

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

The LCM of 264,364,654,660 is 13093080.

Find LCM of 264,364,654,660 with Prime Factorization

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

2 x 2 x 3 x 11 x 2 x 91 x 109 x 5 = 13093080

Therefore, the lowest common multiple of 264,364,654,660 is 13093080.

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.

264 x 364 x 654 x 660 = 41478877440

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.

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

654 : 1, 2, 3, 6, 109, 218, 327, 654

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,364,654,660, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

364:2x 2x 7x 13

654:2x 3x 109

660:2x 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 2x 2x 2x 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 41478877440/(2x1584)

LCM = 41478877440/3168

LCM = 13093080

Thus, we can understand that the LCM of 264,364,654,660 is 13093080.

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

• LCM of 932, 139, 100, 537
• LCM of 283, 445, 549, 921
• LCM of 345, 933, 212, 502
• LCM of 488, 130, 106, 871
• LCM of 455, 128, 984, 450

1. What is the LCM of 264, 364, 654, 660?

Answer: LCM of 264, 364, 654, 660 is 13093080.

2. How to calculate the LCM of 264, 364, 654, 660?

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 264, 364, 654, 660.

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}.