Given numbers are 414,447,528,696,108

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

The LCM of 414,447,528,696,108 is 472268016.

Find LCM of 414,447,528,696,108 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 149 x 22 x 29 x 3 = 472268016

Therefore, the lowest common multiple of 414,447,528,696,108 is 472268016.

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.

414 x 447 x 528 x 696 x 108 = 7344712184832

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

447 : 1, 3, 149, 447

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,447,528,696,108, is 3.

Now, the common factors can be found like this.

414:2x 3x 3x 23

447:3x 149

528:2x 2x 2x 2x 3x 11

696:2x 2x 2x 3x 29

108:2x 2x 3x 3x 3

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 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 7344712184832/(3x5184)

LCM = 7344712184832/15552

LCM = 472268016

Thus, we can understand that the LCM of 414,447,528,696,108 is 472268016.

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

• LCM of 920, 205, 125, 802, 171
• LCM of 213, 280, 618, 468, 319
• LCM of 923, 570, 828, 239, 729
• LCM of 671, 861, 109, 683, 974
• LCM of 189, 880, 408, 852, 646

1. What is the LCM of 414, 447, 528, 696, 108?

Answer: LCM of 414, 447, 528, 696, 108 is 472268016.

2. How to calculate the LCM of 414, 447, 528, 696, 108?

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 414, 447, 528, 696, 108.

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}.