Given numbers are 361,705,179,372,660

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

The LCM of 361,705,179,372,660 is 62138922780.

Find LCM of 361,705,179,372,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 361 x 47 x 179 x 31 x 11 = 62138922780

Therefore, the lowest common multiple of 361,705,179,372,660 is 62138922780.

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.

361 x 705 x 179 x 372 x 660 = 11185006100400

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.

361 : 1, 19, 361

705 : 1, 3, 5, 15, 47, 141, 235, 705

179 : 1, 179

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,705,179,372,660, is 1.

Now, the common factors can be found like this.

361:19x 19

705:3x 5x 47

179:179

372:2x 2x 3x 31

660:2x 2x 3x 5x 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 5 = 180

Therefore, the value for common factors is 180.

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 = 11185006100400/(1x180)

LCM = 11185006100400/180

LCM = 62138922780

Thus, we can understand that the LCM of 361,705,179,372,660 is 62138922780.

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

• LCM of 431, 690, 386, 761, 142
• LCM of 136, 325, 380, 943, 829
• LCM of 417, 793, 523, 234, 240
• LCM of 960, 184, 356, 798, 838
• LCM of 366, 919, 708, 664, 584

1. What is the LCM of 361, 705, 179, 372, 660?

Answer: LCM of 361, 705, 179, 372, 660 is 62138922780.

2. How to calculate the LCM of 361, 705, 179, 372, 660?

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 361, 705, 179, 372, 660.

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}.