Given numbers are 363,557,612,129,924

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

The LCM of 363,557,612,129,924 is 12415336164.

Find LCM of 363,557,612,129,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 557 x 51 x 43 x 7 = 12415336164

Therefore, the lowest common multiple of 363,557,612,129,924 is 12415336164.

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 557 x 612 x 129 x 924 = 14749419362832

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

557 : 1, 557

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

129 : 1, 3, 43, 129

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,557,612,129,924, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

557:557

612:2x 2x 3x 3x 17

129:3x 43

924:2x 2x 3x 7x 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 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 14749419362832/(1x1188)

LCM = 14749419362832/1188

LCM = 12415336164

Thus, we can understand that the LCM of 363,557,612,129,924 is 12415336164.

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

• LCM of 376, 668, 745, 750, 973
• LCM of 936, 195, 947, 392, 715
• LCM of 188, 151, 746, 329, 639
• LCM of 663, 110, 341, 360, 396
• LCM of 397, 244, 877, 714, 806

1. What is the LCM of 363, 557, 612, 129, 924?

Answer: LCM of 363, 557, 612, 129, 924 is 12415336164.

2. How to calculate the LCM of 363, 557, 612, 129, 924?

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, 557, 612, 129, 924.

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}.