Given numbers are 216,455,572,738,678

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

The LCM of 216,455,572,738,678 is 5008643640.

Find LCM of 216,455,572,738,678 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 6 x 35 x 11 x 41 x 113 = 5008643640

Therefore, the lowest common multiple of 216,455,572,738,678 is 5008643640.

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.

216 x 455 x 572 x 738 x 678 = 28128542682240

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

455 : 1, 5, 7, 13, 35, 65, 91, 455

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,455,572,738,678, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

455:5x 7x 13

572:2x 2x 11x 13

738:2x 3x 3x 41

678:2x 3x 113

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 13 = 5616

Therefore, the value for common factors is 5616.

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 = 28128542682240/(1x5616)

LCM = 28128542682240/5616

LCM = 5008643640

Thus, we can understand that the LCM of 216,455,572,738,678 is 5008643640.

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

• LCM of 823, 932, 216, 506, 774
• LCM of 116, 145, 956, 885, 710
• LCM of 906, 942, 653, 657, 241
• LCM of 234, 954, 151, 700, 116
• LCM of 878, 682, 542, 265, 653

1. What is the LCM of 216, 455, 572, 738, 678?

Answer: LCM of 216, 455, 572, 738, 678 is 5008643640.

2. How to calculate the LCM of 216, 455, 572, 738, 678?

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 216, 455, 572, 738, 678.

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}.