Given numbers are 400,217,790,122

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

The LCM of 400,217,790,122 is 418289200.

Find LCM of 400,217,790,122 with Prime Factorization

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

2 x 5 x 40 x 217 x 79 x 61 = 418289200

Therefore, the lowest common multiple of 400,217,790,122 is 418289200.

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 217 x 790 x 122 = 8365784000

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

217 : 1, 7, 31, 217

790 : 1, 2, 5, 10, 79, 158, 395, 790

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,217,790,122, is 1.

Now, the common factors can be found like this.

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

217:7x 31

790:2x 5x 79

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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 8365784000/(1x20)

LCM = 8365784000/20

LCM = 418289200

Thus, we can understand that the LCM of 400,217,790,122 is 418289200.

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

• LCM of 936, 230, 969, 930
• LCM of 369, 730, 306, 416
• LCM of 489, 863, 875, 908
• LCM of 372, 144, 146, 427
• LCM of 927, 156, 421, 576

1. What is the LCM of 400, 217, 790, 122?

Answer: LCM of 400, 217, 790, 122 is 418289200.

2. How to calculate the LCM of 400, 217, 790, 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, 217, 790, 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}.