Given numbers are 400,575,635,585,122

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

The LCM of 400,575,635,585,122 is 8338870800.

Find LCM of 400,575,635,585,122 with Prime Factorization

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

2 x 5 x 5 x 8 x 23 x 127 x 117 x 61 = 8338870800

Therefore, the lowest common multiple of 400,575,635,585,122 is 8338870800.

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.

400 x 575 x 635 x 585 x 122 = 10423588500000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

575 : 1, 5, 23, 25, 115, 575

635 : 1, 5, 127, 635

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,575,635,585,122, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

575:5x 5x 23

635:5x 127

585:3x 3x 5x 13

122:2x 61

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

2x 5x 5x 5x 5 = 1250

Therefore, the value for common factors is 1250.

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 = 10423588500000/(1x1250)

LCM = 10423588500000/1250

LCM = 8338870800

Thus, we can understand that the LCM of 400,575,635,585,122 is 8338870800.

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

• LCM of 676, 724, 976, 494, 103
• LCM of 288, 997, 470, 600, 127
• LCM of 215, 480, 483, 842, 963
• LCM of 384, 175, 852, 764, 594
• LCM of 609, 491, 299, 196, 792

1. What is the LCM of 400, 575, 635, 585, 122?

Answer: LCM of 400, 575, 635, 585, 122 is 8338870800.

2. How to calculate the LCM of 400, 575, 635, 585, 122?

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 400, 575, 635, 585, 122.

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}.