Given numbers are 406,450,411,680,957

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

The LCM of 406,450,411,680,957 is 9361182600.

Find LCM of 406,450,411,680,957 with Prime Factorization

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

2 x 3 x 5 x 29 x 7 x 15 x 137 x 68 x 11 = 9361182600

Therefore, the lowest common multiple of 406,450,411,680,957 is 9361182600.

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.

406 x 450 x 411 x 680 x 957 = 48865373172000

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.

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

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

411 : 1, 3, 137, 411

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,450,411,680,957, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

450:2x 3x 3x 5x 5

411:3x 137

680:2x 2x 2x 5x 17

957:3x 11x 29

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 3x 3x 5x 29 = 5220

Therefore, the value for common factors is 5220.

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 = 48865373172000/(1x5220)

LCM = 48865373172000/5220

LCM = 9361182600

Thus, we can understand that the LCM of 406,450,411,680,957 is 9361182600.

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

• LCM of 602, 721, 475, 566, 119
• LCM of 582, 151, 626, 855, 156
• LCM of 592, 916, 846, 708, 696
• LCM of 282, 622, 108, 481, 777
• LCM of 850, 833, 542, 546, 289

1. What is the LCM of 406, 450, 411, 680, 957?

Answer: LCM of 406, 450, 411, 680, 957 is 9361182600.

2. How to calculate the LCM of 406, 450, 411, 680, 957?

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 406, 450, 411, 680, 957.

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}.