Given numbers are 406,536,321,420,903

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

The LCM of 406,536,321,420,903 is 7509384120.

Find LCM of 406,536,321,420,903 with Prime Factorization

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

2 x 2 x 3 x 7 x 29 x 134 x 107 x 5 x 43 = 7509384120

Therefore, the lowest common multiple of 406,536,321,420,903 is 7509384120.

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.

406 x 536 x 321 x 420 x 903 = 26493107175360

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

536 : 1, 2, 4, 8, 67, 134, 268, 536

321 : 1, 3, 107, 321

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,536,321,420,903, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

536:2x 2x 2x 67

321:3x 107

420:2x 2x 3x 5x 7

903:3x 7x 43

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 26493107175360/(1x3528)

LCM = 26493107175360/3528

LCM = 7509384120

Thus, we can understand that the LCM of 406,536,321,420,903 is 7509384120.

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

• LCM of 931, 294, 235, 712, 194
• LCM of 882, 427, 547, 963, 759
• LCM of 198, 469, 698, 493, 211
• LCM of 893, 913, 539, 308, 214
• LCM of 311, 154, 952, 588, 215

1. What is the LCM of 406, 536, 321, 420, 903?

Answer: LCM of 406, 536, 321, 420, 903 is 7509384120.

2. How to calculate the LCM of 406, 536, 321, 420, 903?

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 406, 536, 321, 420, 903.

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}.