Given numbers are 467,908,260,864

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

The LCM of 467,908,260,864 is 5953465440.

Find LCM of 467,908,260,864 with Prime Factorization

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

2 x 2 x 467 x 227 x 65 x 216 = 5953465440

Therefore, the lowest common multiple of 467,908,260,864 is 5953465440.

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.

467 x 908 x 260 x 864 = 95255447040

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.

467 : 1, 467

908 : 1, 2, 4, 227, 454, 908

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,908,260,864, is 1.

Now, the common factors can be found like this.

467:467

908:2x 2x 227

260:2x 2x 5x 13

864:2x 2x 2x 2x 2x 3x 3x 3

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 2 = 16

Therefore, the value for common factors is 16.

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 = 95255447040/(1x16)

LCM = 95255447040/16

LCM = 5953465440

Thus, we can understand that the LCM of 467,908,260,864 is 5953465440.

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

• LCM of 505, 356, 295, 753
• LCM of 875, 380, 418, 590
• LCM of 398, 680, 497, 545
• LCM of 949, 182, 673, 751
• LCM of 501, 282, 828, 393

1. What is the LCM of 467, 908, 260, 864?

Answer: LCM of 467, 908, 260, 864 is 5953465440.

2. How to calculate the LCM of 467, 908, 260, 864?

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 467, 908, 260, 864.

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}.