Given numbers are 894,129,675,828,648

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

The LCM of 894,129,675,828,648 is 2387248200.

Find LCM of 894,129,675,828,648 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 149 x 43 x 25 x 23 x 6 = 2387248200

Therefore, the lowest common multiple of 894,129,675,828,648 is 2387248200.

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.

894 x 129 x 675 x 828 x 648 = 41767294507200

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

129 : 1, 3, 43, 129

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,129,675,828,648, is 3.

Now, the common factors can be found like this.

894:2x 3x 149

129:3x 43

675:3x 3x 3x 5x 5

828:2x 2x 3x 3x 23

648:2x 2x 2x 3x 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 3x 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 41767294507200/(3x5832)

LCM = 41767294507200/17496

LCM = 2387248200

Thus, we can understand that the LCM of 894,129,675,828,648 is 2387248200.

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

• LCM of 203, 192, 666, 129, 186
• LCM of 585, 667, 643, 832, 864
• LCM of 931, 176, 457, 625, 538
• LCM of 941, 224, 849, 316, 243
• LCM of 389, 627, 788, 323, 418

1. What is the LCM of 894, 129, 675, 828, 648?

Answer: LCM of 894, 129, 675, 828, 648 is 2387248200.

2. How to calculate the LCM of 894, 129, 675, 828, 648?

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 894, 129, 675, 828, 648.

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}.