Given numbers are 217,144,445,470

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

The LCM of 217,144,445,470 is 653551920.

Find LCM of 217,144,445,470 with Prime Factorization

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

2 x 5 x 217 x 72 x 89 x 47 = 653551920

Therefore, the lowest common multiple of 217,144,445,470 is 653551920.

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.

217 x 144 x 445 x 470 = 6535519200

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.

217 : 1, 7, 31, 217

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

445 : 1, 5, 89, 445

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,144,445,470, is 1.

Now, the common factors can be found like this.

217:7x 31

144:2x 2x 2x 2x 3x 3

445:5x 89

470:2x 5x 47

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6535519200/(1x10)

LCM = 6535519200/10

LCM = 653551920

Thus, we can understand that the LCM of 217,144,445,470 is 653551920.

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

• LCM of 414, 752, 325, 344
• LCM of 434, 226, 501, 937
• LCM of 221, 529, 935, 850
• LCM of 298, 639, 443, 188
• LCM of 501, 645, 510, 510

1. What is the LCM of 217, 144, 445, 470?

Answer: LCM of 217, 144, 445, 470 is 653551920.

2. How to calculate the LCM of 217, 144, 445, 470?

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 217, 144, 445, 470.

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}.