Given numbers are 363,966,852,366

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

The LCM of 363,966,852,366 is 1012466532.

Find LCM of 363,966,852,366 with Prime Factorization

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

2 x 3 x 121 x 161 x 142 x 61 = 1012466532

Therefore, the lowest common multiple of 363,966,852,366 is 1012466532.

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.

363 x 966 x 852 x 366 = 109346385456

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.

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

366 : 1, 2, 3, 6, 61, 122, 183, 366

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,966,852,366, is 3.

Now, the common factors can be found like this.

363:3x 11x 11

966:2x 3x 7x 23

852:2x 2x 3x 71

366:2x 3x 61

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 = 109346385456/(3x36)

LCM = 109346385456/108

LCM = 1012466532

Thus, we can understand that the LCM of 363,966,852,366 is 1012466532.

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

• LCM of 367, 257, 921, 458
• LCM of 890, 892, 978, 584
• LCM of 902, 342, 999, 904
• LCM of 818, 906, 108, 157
• LCM of 195, 545, 618, 759

1. What is the LCM of 363, 966, 852, 366?

Answer: LCM of 363, 966, 852, 366 is 1012466532.

2. How to calculate the LCM of 363, 966, 852, 366?

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 363, 966, 852, 366.

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}.