Given numbers are 460,840,812,861,879

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

The LCM of 460,840,812,861,879 is 6730643640.

Find LCM of 460,840,812,861,879 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 23 x 2 x 29 x 41 x 293 = 6730643640

Therefore, the lowest common multiple of 460,840,812,861,879 is 6730643640.

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 840 x 812 x 861 x 879 = 237457107619200

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

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

861 : 1, 3, 7, 21, 41, 123, 287, 861

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,840,812,861,879, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

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

812:2x 2x 7x 29

861:3x 7x 41

879:3x 293

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 3x 5x 7x 7 = 35280

Therefore, the value for common factors is 35280.

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 = 237457107619200/(1x35280)

LCM = 237457107619200/35280

LCM = 6730643640

Thus, we can understand that the LCM of 460,840,812,861,879 is 6730643640.

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

• LCM of 578, 578, 362, 820, 441
• LCM of 759, 692, 973, 310, 522
• LCM of 275, 484, 548, 470, 289
• LCM of 931, 737, 962, 437, 674
• LCM of 752, 836, 776, 356, 876

1. What is the LCM of 460, 840, 812, 861, 879?

Answer: LCM of 460, 840, 812, 861, 879 is 6730643640.

2. How to calculate the LCM of 460, 840, 812, 861, 879?

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, 840, 812, 861, 879.

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}.