Given numbers are 132,810,361,178,602

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

The LCM of 132,810,361,178,602 is 172334172780.

Find LCM of 132,810,361,178,602 with Prime Factorization

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

2 x 3 x 22 x 135 x 361 x 89 x 301 = 172334172780

Therefore, the lowest common multiple of 132,810,361,178,602 is 172334172780.

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.

132 x 810 x 361 x 178 x 602 = 4136020146720

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

361 : 1, 19, 361

178 : 1, 2, 89, 178

602 : 1, 2, 7, 14, 43, 86, 301, 602

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,810,361,178,602, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

810:2x 3x 3x 3x 3x 5

361:19x 19

178:2x 89

602:2x 7x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4136020146720/(1x24)

LCM = 4136020146720/24

LCM = 172334172780

Thus, we can understand that the LCM of 132,810,361,178,602 is 172334172780.

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

• LCM of 465, 410, 294, 233, 661
• LCM of 802, 740, 825, 259, 945
• LCM of 188, 775, 710, 969, 914
• LCM of 881, 297, 593, 710, 268
• LCM of 545, 499, 822, 619, 502

1. What is the LCM of 132, 810, 361, 178, 602?

Answer: LCM of 132, 810, 361, 178, 602 is 172334172780.

2. How to calculate the LCM of 132, 810, 361, 178, 602?

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 132, 810, 361, 178, 602.

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}.