Given numbers are 312,363,679,209,792

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

The LCM of 312,363,679,209,792 is 1461115656.

Find LCM of 312,363,679,209,792 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 11 x 679 x 19 x 3 = 1461115656

Therefore, the lowest common multiple of 312,363,679,209,792 is 1461115656.

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 363 x 679 x 209 x 792 = 12729239595072

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

363 : 1, 3, 11, 33, 121, 363

679 : 1, 7, 97, 679

209 : 1, 11, 19, 209

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,363,679,209,792, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

363:3x 11x 11

679:7x 97

209:11x 19

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

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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 12729239595072/(1x8712)

LCM = 12729239595072/8712

LCM = 1461115656

Thus, we can understand that the LCM of 312,363,679,209,792 is 1461115656.

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

• LCM of 226, 462, 301, 440, 753
• LCM of 870, 263, 304, 408, 249
• LCM of 179, 602, 738, 120, 511
• LCM of 842, 385, 243, 873, 395
• LCM of 892, 785, 945, 297, 520

1. What is the LCM of 312, 363, 679, 209, 792?

Answer: LCM of 312, 363, 679, 209, 792 is 1461115656.

2. How to calculate the LCM of 312, 363, 679, 209, 792?

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, 363, 679, 209, 792.

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}.