Given numbers are 242,578,507,816,184

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

The LCM of 242,578,507,816,184 is 6524376144.

Find LCM of 242,578,507,816,184 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 121 x 17 x 169 x 2 x 23 = 6524376144

Therefore, the lowest common multiple of 242,578,507,816,184 is 6524376144.

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 578 x 507 x 816 x 184 = 10647781867008

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

578 : 1, 2, 17, 34, 289, 578

507 : 1, 3, 13, 39, 169, 507

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,578,507,816,184, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

578:2x 17x 17

507:3x 13x 13

816:2x 2x 2x 2x 3x 17

184:2x 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 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 10647781867008/(1x1632)

LCM = 10647781867008/1632

LCM = 6524376144

Thus, we can understand that the LCM of 242,578,507,816,184 is 6524376144.

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

• LCM of 534, 656, 771, 392, 938
• LCM of 311, 236, 262, 668, 469
• LCM of 314, 639, 876, 808, 148
• LCM of 917, 823, 467, 404, 109
• LCM of 164, 332, 620, 590, 431

1. What is the LCM of 242, 578, 507, 816, 184?

Answer: LCM of 242, 578, 507, 816, 184 is 6524376144.

2. How to calculate the LCM of 242, 578, 507, 816, 184?

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, 578, 507, 816, 184.

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}.