Given numbers are 840,717,264,456

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

The LCM of 840,717,264,456 is 41958840.

Find LCM of 840,717,264,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 35 x 239 x 11 x 19 = 41958840

Therefore, the lowest common multiple of 840,717,264,456 is 41958840.

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.

840 x 717 x 264 x 456 = 72504875520

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.

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

717 : 1, 3, 239, 717

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,717,264,456, is 3.

Now, the common factors can be found like this.

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

717:3x 239

264:2x 2x 2x 3x 11

456:2x 2x 2x 3x 19

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 3 = 576

Therefore, the value for common factors is 576.

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 = 72504875520/(3x576)

LCM = 72504875520/1728

LCM = 41958840

Thus, we can understand that the LCM of 840,717,264,456 is 41958840.

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

• LCM of 818, 908, 757, 276
• LCM of 939, 116, 244, 532
• LCM of 855, 950, 203, 392
• LCM of 743, 808, 551, 648
• LCM of 323, 658, 734, 460

1. What is the LCM of 840, 717, 264, 456?

Answer: LCM of 840, 717, 264, 456 is 41958840.

2. How to calculate the LCM of 840, 717, 264, 456?

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 840, 717, 264, 456.

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}.