Given numbers are 584,560,292,816

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

The LCM of 584,560,292,816 is 2084880.

Find LCM of 584,560,292,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 73 x 1 x 35 x 1 x 51 = 2084880

Therefore, the lowest common multiple of 584,560,292,816 is 2084880.

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.

584 x 560 x 292 x 816 = 77924474880

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

292 : 1, 2, 4, 73, 146, 292

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,560,292,816, is 4.

Now, the common factors can be found like this.

584:2x 2x 2x 73

560:2x 2x 2x 2x 5x 7

292:2x 2x 73

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 2x 2x 73 = 9344

Therefore, the value for common factors is 9344.

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 = 77924474880/(4x9344)

LCM = 77924474880/37376

LCM = 2084880

Thus, we can understand that the LCM of 584,560,292,816 is 2084880.

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

• LCM of 205, 353, 357, 712
• LCM of 161, 951, 565, 253
• LCM of 743, 322, 550, 376
• LCM of 346, 410, 580, 537
• LCM of 624, 754, 738, 730

1. What is the LCM of 584, 560, 292, 816?

Answer: LCM of 584, 560, 292, 816 is 2084880.

2. How to calculate the LCM of 584, 560, 292, 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 584, 560, 292, 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}.