Given numbers are 816,372,782,723

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

The LCM of 816,372,782,723 is 140215728.

Find LCM of 816,372,782,723 with Prime Factorization

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

2 x 2 x 3 x 17 x 4 x 31 x 23 x 241 = 140215728

Therefore, the lowest common multiple of 816,372,782,723 is 140215728.

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.

816 x 372 x 782 x 723 = 171624051072

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.

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

782 : 1, 2, 17, 23, 34, 46, 391, 782

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,372,782,723, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

372:2x 2x 3x 31

782:2x 17x 23

723:3x 241

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 171624051072/(1x1224)

LCM = 171624051072/1224

LCM = 140215728

Thus, we can understand that the LCM of 816,372,782,723 is 140215728.

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

• LCM of 914, 389, 731, 185
• LCM of 729, 435, 270, 241
• LCM of 319, 217, 468, 152
• LCM of 255, 374, 695, 146
• LCM of 312, 530, 559, 179

1. What is the LCM of 816, 372, 782, 723?

Answer: LCM of 816, 372, 782, 723 is 140215728.

2. How to calculate the LCM of 816, 372, 782, 723?

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 816, 372, 782, 723.

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}.