Given numbers are 406,131,124,880,506

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

The LCM of 406,131,124,880,506 is 16685511920.

Find LCM of 406,131,124,880,506 with Prime Factorization

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

2 x 2 x 11 x 203 x 131 x 31 x 20 x 23 = 16685511920

Therefore, the lowest common multiple of 406,131,124,880,506 is 16685511920.

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 131 x 124 x 880 x 506 = 2936650097920

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

131 : 1, 131

124 : 1, 2, 4, 31, 62, 124

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,131,124,880,506, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

131:131

124:2x 2x 31

880:2x 2x 2x 2x 5x 11

506:2x 11x 23

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 11 = 176

Therefore, the value for common factors is 176.

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 = 2936650097920/(1x176)

LCM = 2936650097920/176

LCM = 16685511920

Thus, we can understand that the LCM of 406,131,124,880,506 is 16685511920.

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

• LCM of 425, 604, 205, 234, 165
• LCM of 444, 716, 953, 625, 183
• LCM of 400, 311, 693, 342, 410
• LCM of 566, 650, 321, 741, 890
• LCM of 168, 791, 162, 545, 738

1. What is the LCM of 406, 131, 124, 880, 506?

Answer: LCM of 406, 131, 124, 880, 506 is 16685511920.

2. How to calculate the LCM of 406, 131, 124, 880, 506?

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, 131, 124, 880, 506.

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}.