Given numbers are 342,804,794,444,560

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

The LCM of 342,804,794,444,560 is 94243448880.

Find LCM of 342,804,794,444,560 with Prime Factorization

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

2 x 2 x 3 x 57 x 67 x 397 x 37 x 140 = 94243448880

Therefore, the lowest common multiple of 342,804,794,444,560 is 94243448880.

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.

342 x 804 x 794 x 444 x 560 = 54284226554880

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

794 : 1, 2, 397, 794

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,804,794,444,560, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

804:2x 2x 3x 67

794:2x 397

444:2x 2x 3x 37

560:2x 2x 2x 2x 5x 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 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 = 54284226554880/(2x288)

LCM = 54284226554880/576

LCM = 94243448880

Thus, we can understand that the LCM of 342,804,794,444,560 is 94243448880.

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

• LCM of 719, 106, 840, 563, 711
• LCM of 153, 921, 513, 334, 978
• LCM of 294, 726, 226, 778, 103
• LCM of 839, 408, 802, 826, 742
• LCM of 183, 316, 953, 525, 297

1. What is the LCM of 342, 804, 794, 444, 560?

Answer: LCM of 342, 804, 794, 444, 560 is 94243448880.

2. How to calculate the LCM of 342, 804, 794, 444, 560?

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 342, 804, 794, 444, 560.

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}.