Given numbers are 816,984,424,374,734

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

The LCM of 816,984,424,374,734 is 7158279216.

Find LCM of 816,984,424,374,734 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 2 x 41 x 53 x 11 x 367 = 7158279216

Therefore, the lowest common multiple of 816,984,424,374,734 is 7158279216.

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 984 x 424 x 374 x 734 = 93458493444096

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

424 : 1, 2, 4, 8, 53, 106, 212, 424

374 : 1, 2, 11, 17, 22, 34, 187, 374

734 : 1, 2, 367, 734

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,984,424,374,734, is 2.

Now, the common factors can be found like this.

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

984:2x 2x 2x 3x 41

424:2x 2x 2x 53

374:2x 11x 17

734:2x 367

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 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 93458493444096/(2x6528)

LCM = 93458493444096/13056

LCM = 7158279216

Thus, we can understand that the LCM of 816,984,424,374,734 is 7158279216.

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

• LCM of 753, 591, 113, 109, 910
• LCM of 108, 766, 334, 195, 309
• LCM of 310, 874, 260, 107, 458
• LCM of 533, 866, 730, 370, 180
• LCM of 721, 824, 522, 255, 314

1. What is the LCM of 816, 984, 424, 374, 734?

Answer: LCM of 816, 984, 424, 374, 734 is 7158279216.

2. How to calculate the LCM of 816, 984, 424, 374, 734?

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, 984, 424, 374, 734.

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}.