Given numbers are 409,406,409,372

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

The LCM of 409,406,409,372 is 30886044.

Find LCM of 409,406,409,372 with Prime Factorization

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

2 x 409 x 1 x 203 x 1 x 186 = 30886044

Therefore, the lowest common multiple of 409,406,409,372 is 30886044.

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 406 x 409 x 372 = 25264783992

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

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

409 : 1, 409

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,406,409,372, is 1.

Now, the common factors can be found like this.

409:409

406:2x 7x 29

409:409

372:2x 2x 3x 31

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

2x 409 = 818

Therefore, the value for common factors is 818.

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 = 25264783992/(1x818)

LCM = 25264783992/818

LCM = 30886044

Thus, we can understand that the LCM of 409,406,409,372 is 30886044.

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

• LCM of 169, 293, 608, 655
• LCM of 486, 851, 784, 913
• LCM of 499, 652, 845, 477
• LCM of 185, 776, 562, 706
• LCM of 475, 303, 900, 652

1. What is the LCM of 409, 406, 409, 372?

Answer: LCM of 409, 406, 409, 372 is 30886044.

2. How to calculate the LCM of 409, 406, 409, 372?

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, 406, 409, 372.

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}.