Given numbers are 104,396,154,214,456

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

The LCM of 104,396,154,214,456 is 146522376.

Find LCM of 104,396,154,214,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 13 x 3 x 7 x 107 x 19 = 146522376

Therefore, the lowest common multiple of 104,396,154,214,456 is 146522376.

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.

104 x 396 x 154 x 214 x 456 = 618910516224

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

154 : 1, 2, 7, 11, 14, 22, 77, 154

214 : 1, 2, 107, 214

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,396,154,214,456, is 2.

Now, the common factors can be found like this.

104:2x 2x 2x 13

396:2x 2x 3x 3x 11

154:2x 7x 11

214:2x 107

456:2x 2x 2x 3x 19

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 2x 2x 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 618910516224/(2x2112)

LCM = 618910516224/4224

LCM = 146522376

Thus, we can understand that the LCM of 104,396,154,214,456 is 146522376.

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

• LCM of 797, 770, 791, 349, 258
• LCM of 658, 557, 610, 727, 651
• LCM of 307, 255, 456, 728, 914
• LCM of 734, 342, 319, 427, 730
• LCM of 532, 278, 271, 837, 641

1. What is the LCM of 104, 396, 154, 214, 456?

Answer: LCM of 104, 396, 154, 214, 456 is 146522376.

2. How to calculate the LCM of 104, 396, 154, 214, 456?

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 104, 396, 154, 214, 456.

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}.