Given numbers are 870,552,246,804,816

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

The LCM of 870,552,246,804,816 is 7475575920.

Find LCM of 870,552,246,804,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 145 x 23 x 41 x 67 x 34 = 7475575920

Therefore, the lowest common multiple of 870,552,246,804,816 is 7475575920.

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.

870 x 552 x 246 x 804 x 816 = 77506771138560

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

246 : 1, 2, 3, 6, 41, 82, 123, 246

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,552,246,804,816, is 6.

Now, the common factors can be found like this.

870:2x 3x 5x 29

552:2x 2x 2x 3x 23

246:2x 3x 41

804:2x 2x 3x 67

816:2x 2x 2x 2x 3x 17

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 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 77506771138560/(6x1728)

LCM = 77506771138560/10368

LCM = 7475575920

Thus, we can understand that the LCM of 870,552,246,804,816 is 7475575920.

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

• LCM of 420, 459, 462, 548, 753
• LCM of 442, 964, 495, 488, 641
• LCM of 277, 240, 231, 149, 510
• LCM of 939, 279, 691, 582, 655
• LCM of 987, 365, 780, 709, 705

1. What is the LCM of 870, 552, 246, 804, 816?

Answer: LCM of 870, 552, 246, 804, 816 is 7475575920.

2. How to calculate the LCM of 870, 552, 246, 804, 816?

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 870, 552, 246, 804, 816.

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}.