Given numbers are 288,506,122,901,411

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

The LCM of 288,506,122,901,411 is 548640927648.

Find LCM of 288,506,122,901,411 with Prime Factorization

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

2 x 3 x 48 x 253 x 61 x 901 x 137 = 548640927648

Therefore, the lowest common multiple of 288,506,122,901,411 is 548640927648.

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.

288 x 506 x 122 x 901 x 411 = 6583691131776

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

506 : 1, 2, 11, 22, 23, 46, 253, 506

122 : 1, 2, 61, 122

901 : 1, 17, 53, 901

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,506,122,901,411, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

506:2x 11x 23

122:2x 61

901:17x 53

411:3x 137

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6583691131776/(1x12)

LCM = 6583691131776/12

LCM = 548640927648

Thus, we can understand that the LCM of 288,506,122,901,411 is 548640927648.

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

• LCM of 381, 680, 244, 569, 356
• LCM of 811, 269, 406, 922, 655
• LCM of 400, 534, 889, 375, 247
• LCM of 911, 139, 298, 601, 465
• LCM of 812, 691, 763, 724, 990

1. What is the LCM of 288, 506, 122, 901, 411?

Answer: LCM of 288, 506, 122, 901, 411 is 548640927648.

2. How to calculate the LCM of 288, 506, 122, 901, 411?

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 288, 506, 122, 901, 411.

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}.