Given numbers are 792,467,735,474,842

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

The LCM of 792,467,735,474,842 is 3013820160120.

Find LCM of 792,467,735,474,842 with Prime Factorization

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

2 x 3 x 132 x 467 x 245 x 79 x 421 = 3013820160120

Therefore, the lowest common multiple of 792,467,735,474,842 is 3013820160120.

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.

792 x 467 x 735 x 474 x 842 = 108497525764320

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

467 : 1, 467

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

474 : 1, 2, 3, 6, 79, 158, 237, 474

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,467,735,474,842, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

467:467

735:3x 5x 7x 7

474:2x 3x 79

842:2x 421

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 108497525764320/(1x36)

LCM = 108497525764320/36

LCM = 3013820160120

Thus, we can understand that the LCM of 792,467,735,474,842 is 3013820160120.

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

• LCM of 822, 434, 264, 446, 580
• LCM of 945, 620, 781, 528, 446
• LCM of 219, 195, 798, 279, 388
• LCM of 250, 114, 774, 379, 232
• LCM of 277, 174, 571, 612, 855

1. What is the LCM of 792, 467, 735, 474, 842?

Answer: LCM of 792, 467, 735, 474, 842 is 3013820160120.

2. How to calculate the LCM of 792, 467, 735, 474, 842?

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 792, 467, 735, 474, 842.

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}.