Given numbers are 40,34,86,86,409

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

The LCM of 40,34,86,86,409 is 11959160.

Find LCM of 40,34,86,86,409 with Prime Factorization

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

2 x 43 x 20 x 17 x 1 x 1 x 409 = 11959160

Therefore, the lowest common multiple of 40,34,86,86,409 is 11959160.

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.

40 x 34 x 86 x 86 x 409 = 4113951040

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.

40 : 1, 2, 4, 5, 8, 10, 20, 40

34 : 1, 2, 17, 34

86 : 1, 2, 43, 86

86 : 1, 2, 43, 86

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 40,34,86,86,409, is 1.

Now, the common factors can be found like this.

40:2x 2x 2x 5

34:2x 17

86:2x 43

86:2x 43

409:409

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 43 = 344

Therefore, the value for common factors is 344.

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 = 4113951040/(1x344)

LCM = 4113951040/344

LCM = 11959160

Thus, we can understand that the LCM of 40,34,86,86,409 is 11959160.

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

• LCM of 70, 88, 69, 61, 336
• LCM of 92, 56, 44, 42, 712
• LCM of 51, 53, 82, 38, 162
• LCM of 29, 88, 40, 53, 846
• LCM of 74, 89, 30, 58, 507

1. What is the LCM of 40, 34, 86, 86, 409?

Answer: LCM of 40, 34, 86, 86, 409 is 11959160.

2. How to calculate the LCM of 40, 34, 86, 86, 409?

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 40, 34, 86, 86, 409.

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}.