Given numbers are 264,507,102,612,878

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

The LCM of 264,507,102,612,878 is 998907624.

Find LCM of 264,507,102,612,878 with Prime Factorization

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

2 x 2 x 3 x 17 x 22 x 169 x 1 x 3 x 439 = 998907624

Therefore, the lowest common multiple of 264,507,102,612,878 is 998907624.

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.

264 x 507 x 102 x 612 x 878 = 7335977590656

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

507 : 1, 3, 13, 39, 169, 507

102 : 1, 2, 3, 6, 17, 34, 51, 102

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,507,102,612,878, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

507:3x 13x 13

102:2x 3x 17

612:2x 2x 3x 3x 17

878:2x 439

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 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 7335977590656/(1x7344)

LCM = 7335977590656/7344

LCM = 998907624

Thus, we can understand that the LCM of 264,507,102,612,878 is 998907624.

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

• LCM of 968, 571, 116, 924, 495
• LCM of 129, 328, 548, 695, 181
• LCM of 164, 606, 538, 257, 932
• LCM of 950, 468, 842, 400, 468
• LCM of 123, 200, 112, 327, 330

1. What is the LCM of 264, 507, 102, 612, 878?

Answer: LCM of 264, 507, 102, 612, 878 is 998907624.

2. How to calculate the LCM of 264, 507, 102, 612, 878?

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 264, 507, 102, 612, 878.

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}.