Given numbers are 132,363,948,183,840

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

The LCM of 132,363,948,183,840 is 489803160.

Find LCM of 132,363,948,183,840 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 11 x 79 x 61 x 70 = 489803160

Therefore, the lowest common multiple of 132,363,948,183,840 is 489803160.

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 363 x 948 x 183 x 840 = 6982633848960

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

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

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

183 : 1, 3, 61, 183

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,363,948,183,840, is 3.

Now, the common factors can be found like this.

132:2x 2x 3x 11

363:3x 11x 11

948:2x 2x 3x 79

183:3x 61

840:2x 2x 2x 3x 5x 7

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 2x 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 6982633848960/(3x4752)

LCM = 6982633848960/14256

LCM = 489803160

Thus, we can understand that the LCM of 132,363,948,183,840 is 489803160.

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

• LCM of 574, 757, 597, 538, 125
• LCM of 589, 104, 940, 128, 213
• LCM of 564, 739, 959, 705, 853
• LCM of 282, 568, 907, 484, 943
• LCM of 168, 628, 702, 678, 404

1. What is the LCM of 132, 363, 948, 183, 840?

Answer: LCM of 132, 363, 948, 183, 840 is 489803160.

2. How to calculate the LCM of 132, 363, 948, 183, 840?

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, 363, 948, 183, 840.

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}.