Given numbers are 264,478,460,828

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

The LCM of 264,478,460,828 is 21768120.

Find LCM of 264,478,460,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 22 x 239 x 5 x 3 = 21768120

Therefore, the lowest common multiple of 264,478,460,828 is 21768120.

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 478 x 460 x 828 = 48064008960

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

478 : 1, 2, 239, 478

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,478,460,828, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

478:2x 239

460:2x 2x 5x 23

828:2x 2x 3x 3x 23

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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 48064008960/(2x1104)

LCM = 48064008960/2208

LCM = 21768120

Thus, we can understand that the LCM of 264,478,460,828 is 21768120.

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

• LCM of 871, 917, 279, 883
• LCM of 229, 319, 739, 625
• LCM of 145, 120, 348, 486
• LCM of 181, 947, 792, 454
• LCM of 644, 941, 551, 239

1. What is the LCM of 264, 478, 460, 828?

Answer: LCM of 264, 478, 460, 828 is 21768120.

2. How to calculate the LCM of 264, 478, 460, 828?

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, 478, 460, 828.

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}.