Given numbers are 242,451,475,310,608

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

The LCM of 242,451,475,310,608 is 2337623200.

Find LCM of 242,451,475,310,608 with Prime Factorization

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

2 x 5 x 11 x 19 x 11 x 41 x 5 x 31 x 16 = 2337623200

Therefore, the lowest common multiple of 242,451,475,310,608 is 2337623200.

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.

242 x 451 x 475 x 310 x 608 = 9771264976000

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.

242 : 1, 2, 11, 22, 121, 242

451 : 1, 11, 41, 451

475 : 1, 5, 19, 25, 95, 475

310 : 1, 2, 5, 10, 31, 62, 155, 310

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,451,475,310,608, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

451:11x 41

475:5x 5x 19

310:2x 5x 31

608:2x 2x 2x 2x 2x 19

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 5x 11x 19 = 4180

Therefore, the value for common factors is 4180.

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 = 9771264976000/(1x4180)

LCM = 9771264976000/4180

LCM = 2337623200

Thus, we can understand that the LCM of 242,451,475,310,608 is 2337623200.

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

• LCM of 172, 978, 902, 218, 996
• LCM of 426, 539, 847, 815, 352
• LCM of 905, 149, 456, 906, 467
• LCM of 564, 206, 188, 587, 552
• LCM of 658, 387, 432, 893, 357

1. What is the LCM of 242, 451, 475, 310, 608?

Answer: LCM of 242, 451, 475, 310, 608 is 2337623200.

2. How to calculate the LCM of 242, 451, 475, 310, 608?

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 242, 451, 475, 310, 608.

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}.