Given numbers are 407,221,205,670,486

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

The LCM of 407,221,205,670,486 is 600415113870.

Find LCM of 407,221,205,670,486 with Prime Factorization

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

2 x 5 x 407 x 221 x 41 x 67 x 243 = 600415113870

Therefore, the lowest common multiple of 407,221,205,670,486 is 600415113870.

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.

407 x 221 x 205 x 670 x 486 = 6004151138700

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.

407 : 1, 11, 37, 407

221 : 1, 13, 17, 221

205 : 1, 5, 41, 205

670 : 1, 2, 5, 10, 67, 134, 335, 670

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,221,205,670,486, is 1.

Now, the common factors can be found like this.

407:11x 37

221:13x 17

205:5x 41

670:2x 5x 67

486:2x 3x 3x 3x 3x 3

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 = 6004151138700/(1x10)

LCM = 6004151138700/10

LCM = 600415113870

Thus, we can understand that the LCM of 407,221,205,670,486 is 600415113870.

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

• LCM of 146, 451, 163, 516, 760
• LCM of 484, 741, 383, 387, 636
• LCM of 319, 957, 825, 816, 600
• LCM of 760, 931, 729, 641, 840
• LCM of 897, 516, 589, 951, 867

1. What is the LCM of 407, 221, 205, 670, 486?

Answer: LCM of 407, 221, 205, 670, 486 is 600415113870.

2. How to calculate the LCM of 407, 221, 205, 670, 486?

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 407, 221, 205, 670, 486.

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}.