Given numbers are 486,556,274,330,301

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

The LCM of 486,556,274,330,301 is 306429672780.

Find LCM of 486,556,274,330,301 with Prime Factorization

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

2 x 3 x 81 x 278 x 137 x 55 x 301 = 306429672780

Therefore, the lowest common multiple of 486,556,274,330,301 is 306429672780.

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.

486 x 556 x 274 x 330 x 301 = 7354312146720

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.

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

556 : 1, 2, 4, 139, 278, 556

274 : 1, 2, 137, 274

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,556,274,330,301, is 1.

Now, the common factors can be found like this.

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

556:2x 2x 139

274:2x 137

330:2x 3x 5x 11

301:7x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7354312146720/(1x24)

LCM = 7354312146720/24

LCM = 306429672780

Thus, we can understand that the LCM of 486,556,274,330,301 is 306429672780.

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

• LCM of 357, 843, 873, 983, 229
• LCM of 499, 140, 710, 898, 503
• LCM of 666, 600, 325, 344, 504
• LCM of 417, 422, 566, 129, 915
• LCM of 543, 336, 735, 391, 871

1. What is the LCM of 486, 556, 274, 330, 301?

Answer: LCM of 486, 556, 274, 330, 301 is 306429672780.

2. How to calculate the LCM of 486, 556, 274, 330, 301?

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 486, 556, 274, 330, 301.

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}.