Given numbers are 312,792,220,164,776

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

The LCM of 312,792,220,164,776 is 204735960.

Find LCM of 312,792,220,164,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 3 x 5 x 41 x 97 = 204735960

Therefore, the lowest common multiple of 312,792,220,164,776 is 204735960.

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.

312 x 792 x 220 x 164 x 776 = 6918437560320

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

164 : 1, 2, 4, 41, 82, 164

776 : 1, 2, 4, 8, 97, 194, 388, 776

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,792,220,164,776, is 4.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

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

220:2x 2x 5x 11

164:2x 2x 41

776:2x 2x 2x 97

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 2x 3x 11 = 8448

Therefore, the value for common factors is 8448.

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 = 6918437560320/(4x8448)

LCM = 6918437560320/33792

LCM = 204735960

Thus, we can understand that the LCM of 312,792,220,164,776 is 204735960.

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

• LCM of 428, 987, 957, 638, 313
• LCM of 658, 445, 923, 247, 789
• LCM of 167, 478, 431, 553, 676
• LCM of 835, 659, 426, 144, 171
• LCM of 530, 260, 178, 746, 580

1. What is the LCM of 312, 792, 220, 164, 776?

Answer: LCM of 312, 792, 220, 164, 776 is 204735960.

2. How to calculate the LCM of 312, 792, 220, 164, 776?

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 312, 792, 220, 164, 776.

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}.