Given numbers are 460,818,840,894

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

The LCM of 460,818,840,894 is 1177380120.

Find LCM of 460,818,840,894 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 409 x 14 x 149 = 1177380120

Therefore, the lowest common multiple of 460,818,840,894 is 1177380120.

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 818 x 840 x 894 = 282571228800

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

818 : 1, 2, 409, 818

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,818,840,894, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

818:2x 409

840:2x 2x 2x 3x 5x 7

894:2x 3x 149

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 5 = 120

Therefore, the value for common factors is 120.

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 = 282571228800/(2x120)

LCM = 282571228800/240

LCM = 1177380120

Thus, we can understand that the LCM of 460,818,840,894 is 1177380120.

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

• LCM of 982, 789, 140, 820
• LCM of 853, 178, 931, 267
• LCM of 159, 230, 962, 129
• LCM of 185, 100, 601, 382
• LCM of 600, 793, 772, 168

1. What is the LCM of 460, 818, 840, 894?

Answer: LCM of 460, 818, 840, 894 is 1177380120.

2. How to calculate the LCM of 460, 818, 840, 894?

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, 818, 840, 894.

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}.