Given numbers are 204,214,738,221,736

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

The LCM of 204,214,738,221,736 is 6422146848.

Find LCM of 204,214,738,221,736 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 107 x 123 x 13 x 184 = 6422146848

Therefore, the lowest common multiple of 204,214,738,221,736 is 6422146848.

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.

204 x 214 x 738 x 221 x 736 = 5240471827968

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

214 : 1, 2, 107, 214

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

221 : 1, 13, 17, 221

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,214,738,221,736, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

214:2x 107

738:2x 3x 3x 41

221:13x 17

736:2x 2x 2x 2x 2x 23

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 17 = 816

Therefore, the value for common factors is 816.

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 = 5240471827968/(1x816)

LCM = 5240471827968/816

LCM = 6422146848

Thus, we can understand that the LCM of 204,214,738,221,736 is 6422146848.

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

• LCM of 933, 697, 902, 611, 334
• LCM of 978, 443, 970, 433, 307
• LCM of 241, 347, 354, 220, 700
• LCM of 614, 738, 260, 296, 476
• LCM of 840, 585, 129, 407, 965

1. What is the LCM of 204, 214, 738, 221, 736?

Answer: LCM of 204, 214, 738, 221, 736 is 6422146848.

2. How to calculate the LCM of 204, 214, 738, 221, 736?

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 204, 214, 738, 221, 736.

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}.