Given numbers are 738,894,583,664,816

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

The LCM of 738,894,583,664,816 is 723649365648.

Find LCM of 738,894,583,664,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 123 x 149 x 583 x 83 x 34 = 723649365648

Therefore, the lowest common multiple of 738,894,583,664,816 is 723649365648.

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.

738 x 894 x 583 x 664 x 816 = 208411017306624

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

894 : 1, 2, 3, 6, 149, 298, 447, 894

583 : 1, 11, 53, 583

664 : 1, 2, 4, 8, 83, 166, 332, 664

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 738,894,583,664,816, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

894:2x 3x 149

583:11x 53

664:2x 2x 2x 83

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 208411017306624/(1x288)

LCM = 208411017306624/288

LCM = 723649365648

Thus, we can understand that the LCM of 738,894,583,664,816 is 723649365648.

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

• LCM of 291, 242, 952, 609, 863
• LCM of 116, 754, 586, 807, 353
• LCM of 471, 907, 764, 172, 100
• LCM of 672, 550, 367, 766, 668
• LCM of 411, 994, 531, 622, 147

1. What is the LCM of 738, 894, 583, 664, 816?

Answer: LCM of 738, 894, 583, 664, 816 is 723649365648.

2. How to calculate the LCM of 738, 894, 583, 664, 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 738, 894, 583, 664, 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}.