Given numbers are 516,131,360,406

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

The LCM of 516,131,360,406 is 411659640.

Find LCM of 516,131,360,406 with Prime Factorization

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

2 x 2 x 3 x 43 x 131 x 30 x 203 = 411659640

Therefore, the lowest common multiple of 516,131,360,406 is 411659640.

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.

516 x 131 x 360 x 406 = 9879831360

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

131 : 1, 131

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,131,360,406, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

131:131

360:2x 2x 2x 3x 3x 5

406:2x 7x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9879831360/(1x24)

LCM = 9879831360/24

LCM = 411659640

Thus, we can understand that the LCM of 516,131,360,406 is 411659640.

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

• LCM of 758, 284, 280, 267
• LCM of 448, 737, 870, 315
• LCM of 820, 716, 705, 997
• LCM of 630, 917, 851, 207
• LCM of 913, 796, 436, 852

1. What is the LCM of 516, 131, 360, 406?

Answer: LCM of 516, 131, 360, 406 is 411659640.

2. How to calculate the LCM of 516, 131, 360, 406?

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 516, 131, 360, 406.

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}.