Given numbers are 242,484,914,830,208

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

The LCM of 242,484,914,830,208 is 4773237040.

Find LCM of 242,484,914,830,208 with Prime Factorization

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

2 x 2 x 11 x 11 x 1 x 1 x 457 x 415 x 52 = 4773237040

Therefore, the lowest common multiple of 242,484,914,830,208 is 4773237040.

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 484 x 914 x 830 x 208 = 18481973818880

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

914 : 1, 2, 457, 914

830 : 1, 2, 5, 10, 83, 166, 415, 830

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,484,914,830,208, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

484:2x 2x 11x 11

914:2x 457

830:2x 5x 83

208:2x 2x 2x 2x 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 2x 2x 2x 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 18481973818880/(2x1936)

LCM = 18481973818880/3872

LCM = 4773237040

Thus, we can understand that the LCM of 242,484,914,830,208 is 4773237040.

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

• LCM of 961, 747, 650, 856, 597
• LCM of 684, 854, 289, 408, 334
• LCM of 958, 747, 963, 933, 507
• LCM of 183, 873, 508, 985, 831
• LCM of 854, 171, 692, 649, 233

1. What is the LCM of 242, 484, 914, 830, 208?

Answer: LCM of 242, 484, 914, 830, 208 is 4773237040.

2. How to calculate the LCM of 242, 484, 914, 830, 208?

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, 484, 914, 830, 208.

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}.