Given numbers are 409,393,450,484

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

The LCM of 409,393,450,484 is 5834753100.

Find LCM of 409,393,450,484 with Prime Factorization

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

2 x 3 x 409 x 131 x 75 x 242 = 5834753100

Therefore, the lowest common multiple of 409,393,450,484 is 5834753100.

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 393 x 450 x 484 = 35008518600

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

393 : 1, 3, 131, 393

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,393,450,484, is 1.

Now, the common factors can be found like this.

409:409

393:3x 131

450:2x 3x 3x 5x 5

484:2x 2x 11x 11

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 35008518600/(1x6)

LCM = 35008518600/6

LCM = 5834753100

Thus, we can understand that the LCM of 409,393,450,484 is 5834753100.

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

• LCM of 356, 744, 245, 914
• LCM of 134, 127, 154, 727
• LCM of 242, 311, 724, 885
• LCM of 786, 670, 403, 494
• LCM of 910, 953, 684, 784

1. What is the LCM of 409, 393, 450, 484?

Answer: LCM of 409, 393, 450, 484 is 5834753100.

2. How to calculate the LCM of 409, 393, 450, 484?

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, 393, 450, 484.

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}.