Given numbers are 450,349,208,409

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

The LCM of 450,349,208,409 is 6680278800.

Find LCM of 450,349,208,409 with Prime Factorization

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

2 x 225 x 349 x 104 x 409 = 6680278800

Therefore, the lowest common multiple of 450,349,208,409 is 6680278800.

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.

450 x 349 x 208 x 409 = 13360557600

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.

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

349 : 1, 349

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,349,208,409, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

349:349

208:2x 2x 2x 2x 13

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 13360557600/(1x2)

LCM = 13360557600/2

LCM = 6680278800

Thus, we can understand that the LCM of 450,349,208,409 is 6680278800.

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

• LCM of 975, 834, 179, 591
• LCM of 294, 497, 756, 420
• LCM of 409, 940, 450, 180
• LCM of 999, 778, 377, 428
• LCM of 856, 854, 320, 667

1. What is the LCM of 450, 349, 208, 409?

Answer: LCM of 450, 349, 208, 409 is 6680278800.

2. How to calculate the LCM of 450, 349, 208, 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 450, 349, 208, 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}.