Given numbers are 263,214,406,220,351

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

The LCM of 263,214,406,220,351 is 441128748060.

Find LCM of 263,214,406,220,351 with Prime Factorization

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

2 x 263 x 107 x 203 x 110 x 351 = 441128748060

Therefore, the lowest common multiple of 263,214,406,220,351 is 441128748060.

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.

263 x 214 x 406 x 220 x 351 = 1764514992240

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.

263 : 1, 263

214 : 1, 2, 107, 214

406 : 1, 2, 7, 14, 29, 58, 203, 406

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,214,406,220,351, is 1.

Now, the common factors can be found like this.

263:263

214:2x 107

406:2x 7x 29

220:2x 2x 5x 11

351:3x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 1764514992240/(1x4)

LCM = 1764514992240/4

LCM = 441128748060

Thus, we can understand that the LCM of 263,214,406,220,351 is 441128748060.

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

• LCM of 721, 115, 932, 126, 571
• LCM of 709, 572, 619, 369, 644
• LCM of 415, 941, 500, 588, 620
• LCM of 594, 194, 117, 302, 762
• LCM of 346, 112, 927, 969, 306

1. What is the LCM of 263, 214, 406, 220, 351?

Answer: LCM of 263, 214, 406, 220, 351 is 441128748060.

2. How to calculate the LCM of 263, 214, 406, 220, 351?

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 263, 214, 406, 220, 351.

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}.