Given numbers are 417,217,668,900,312

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

The LCM of 417,217,668,900,312 is 117870971400.

Find LCM of 417,217,668,900,312 with Prime Factorization

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

2 x 2 x 3 x 139 x 217 x 167 x 75 x 26 = 117870971400

Therefore, the lowest common multiple of 417,217,668,900,312 is 117870971400.

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.

417 x 217 x 668 x 900 x 312 = 16973419881600

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.

417 : 1, 3, 139, 417

217 : 1, 7, 31, 217

668 : 1, 2, 4, 167, 334, 668

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,217,668,900,312, is 1.

Now, the common factors can be found like this.

417:3x 139

217:7x 31

668:2x 2x 167

900:2x 2x 3x 3x 5x 5

312:2x 2x 2x 3x 13

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 16973419881600/(1x144)

LCM = 16973419881600/144

LCM = 117870971400

Thus, we can understand that the LCM of 417,217,668,900,312 is 117870971400.

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

• LCM of 692, 601, 493, 302, 932
• LCM of 829, 842, 234, 608, 349
• LCM of 745, 846, 417, 877, 664
• LCM of 823, 663, 433, 269, 924
• LCM of 120, 257, 198, 397, 363

1. What is the LCM of 417, 217, 668, 900, 312?

Answer: LCM of 417, 217, 668, 900, 312 is 117870971400.

2. How to calculate the LCM of 417, 217, 668, 900, 312?

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 417, 217, 668, 900, 312.

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}.