Given numbers are 506,968,867,816

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

The LCM of 506,968,867,816 is 38605776.

Find LCM of 506,968,867,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 17 x 23 x 11 x 17 x 2 = 38605776

Therefore, the lowest common multiple of 506,968,867,816 is 38605776.

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.

506 x 968 x 867 x 816 = 346525445376

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

867 : 1, 3, 17, 51, 289, 867

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,968,867,816, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

968:2x 2x 2x 11x 11

867:3x 17x 17

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 3x 11x 17 = 8976

Therefore, the value for common factors is 8976.

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 = 346525445376/(1x8976)

LCM = 346525445376/8976

LCM = 38605776

Thus, we can understand that the LCM of 506,968,867,816 is 38605776.

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

• LCM of 859, 152, 616, 553
• LCM of 715, 862, 470, 961
• LCM of 200, 585, 918, 605
• LCM of 315, 417, 638, 739
• LCM of 673, 794, 638, 446

1. What is the LCM of 506, 968, 867, 816?

Answer: LCM of 506, 968, 867, 816 is 38605776.

2. How to calculate the LCM of 506, 968, 867, 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 506, 968, 867, 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}.