Given numbers are 460,126,896,368

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

The LCM of 460,126,896,368 is 927360.

Find LCM of 460,126,896,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 23 x 5 x 9 x 8 x 1 = 927360

Therefore, the lowest common multiple of 460,126,896,368 is 927360.

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.

460 x 126 x 896 x 368 = 19111034880

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.

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,126,896,368, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

126:2x 3x 3x 7

896:2x 2x 2x 2x 2x 2x 2x 7

368:2x 2x 2x 2x 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 2x 2x 7x 23 = 10304

Therefore, the value for common factors is 10304.

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 = 19111034880/(2x10304)

LCM = 19111034880/20608

LCM = 927360

Thus, we can understand that the LCM of 460,126,896,368 is 927360.

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

• LCM of 647, 853, 300, 886
• LCM of 882, 791, 553, 106
• LCM of 583, 728, 505, 159
• LCM of 804, 479, 464, 190
• LCM of 445, 976, 157, 411

1. What is the LCM of 460, 126, 896, 368?

Answer: LCM of 460, 126, 896, 368 is 927360.

2. How to calculate the LCM of 460, 126, 896, 368?

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 460, 126, 896, 368.

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}.