Given numbers are 882,762,214,788,480

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

The LCM of 882,762,214,788,480 is 188891448480.

Find LCM of 882,762,214,788,480 with Prime Factorization

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

2 x 2 x 3 x 147 x 127 x 107 x 197 x 40 = 188891448480

Therefore, the lowest common multiple of 882,762,214,788,480 is 188891448480.

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.

882 x 762 x 214 x 788 x 480 = 54400737162240

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

762 : 1, 2, 3, 6, 127, 254, 381, 762

214 : 1, 2, 107, 214

788 : 1, 2, 4, 197, 394, 788

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,762,214,788,480, is 2.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

762:2x 3x 127

214:2x 107

788:2x 2x 197

480:2x 2x 2x 2x 2x 3x 5

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 3 = 144

Therefore, the value for common factors is 144.

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 = 54400737162240/(2x144)

LCM = 54400737162240/288

LCM = 188891448480

Thus, we can understand that the LCM of 882,762,214,788,480 is 188891448480.

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

• LCM of 244, 843, 563, 506, 814
• LCM of 979, 553, 565, 930, 204
• LCM of 509, 990, 653, 572, 766
• LCM of 837, 207, 838, 146, 512
• LCM of 579, 563, 752, 200, 547

1. What is the LCM of 882, 762, 214, 788, 480?

Answer: LCM of 882, 762, 214, 788, 480 is 188891448480.

2. How to calculate the LCM of 882, 762, 214, 788, 480?

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 882, 762, 214, 788, 480.

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}.