Given numbers are 920,608,817,334,588

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

The LCM of 920,608,817,334,588 is 73808041440.

Find LCM of 920,608,817,334,588 with Prime Factorization

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

2 x 2 x 2 x 19 x 115 x 4 x 43 x 167 x 147 = 73808041440

Therefore, the lowest common multiple of 920,608,817,334,588 is 73808041440.

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.

920 x 608 x 817 x 334 x 588 = 89750578391040

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

817 : 1, 19, 43, 817

334 : 1, 2, 167, 334

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,608,817,334,588, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

608:2x 2x 2x 2x 2x 19

817:19x 43

334:2x 167

588:2x 2x 3x 7x 7

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 19 = 1216

Therefore, the value for common factors is 1216.

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 = 89750578391040/(1x1216)

LCM = 89750578391040/1216

LCM = 73808041440

Thus, we can understand that the LCM of 920,608,817,334,588 is 73808041440.

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

• LCM of 871, 642, 217, 784, 667
• LCM of 693, 862, 691, 381, 142
• LCM of 140, 565, 466, 117, 434
• LCM of 783, 274, 627, 622, 716
• LCM of 559, 921, 227, 562, 694

1. What is the LCM of 920, 608, 817, 334, 588?

Answer: LCM of 920, 608, 817, 334, 588 is 73808041440.

2. How to calculate the LCM of 920, 608, 817, 334, 588?

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 920, 608, 817, 334, 588.

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}.