Given numbers are 409,40,345

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

The LCM of 409,40,345 is 1128840.

Find LCM of 409,40,345 with Prime Factorization

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

5 x 409 x 8 x 69 = 1128840

Therefore, the lowest common multiple of 409,40,345 is 1128840.

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.

409 x 40 x 345 = 5644200

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.

409 : 1, 409

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,40,345, is 1.

Now, the common factors can be found like this.

409:409

40:2x 2x 2x 5

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 5644200/(1x5)

LCM = 5644200/5

LCM = 1128840

Thus, we can understand that the LCM of 409,40,345 is 1128840.

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

• LCM of 804, 20, 400
• LCM of 693, 50, 681
• LCM of 350, 40, 254
• LCM of 968, 50, 896
• LCM of 905, 37, 797

1. What is the LCM of 409, 40, 345?

Answer: LCM of 409, 40, 345 is 1128840.

2. How to calculate the LCM of 409, 40, 345?

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 409, 40, 345.

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}.