Given numbers are 901,648,264,688,242

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

The LCM of 901,648,264,688,242 is 6075522288.

Find LCM of 901,648,264,688,242 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 901 x 27 x 1 x 86 x 11 = 6075522288

Therefore, the lowest common multiple of 901,648,264,688,242 is 6075522288.

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.

901 x 648 x 264 x 688 x 242 = 25663006144512

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.

901 : 1, 17, 53, 901

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,648,264,688,242, is 1.

Now, the common factors can be found like this.

901:17x 53

648:2x 2x 2x 3x 3x 3x 3

264:2x 2x 2x 3x 11

688:2x 2x 2x 2x 43

242:2x 11x 11

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 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

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 = 25663006144512/(1x4224)

LCM = 25663006144512/4224

LCM = 6075522288

Thus, we can understand that the LCM of 901,648,264,688,242 is 6075522288.

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

• LCM of 505, 544, 768, 879, 569
• LCM of 921, 671, 634, 459, 451
• LCM of 510, 308, 581, 495, 860
• LCM of 658, 574, 893, 495, 913
• LCM of 162, 227, 941, 467, 926

1. What is the LCM of 901, 648, 264, 688, 242?

Answer: LCM of 901, 648, 264, 688, 242 is 6075522288.

2. How to calculate the LCM of 901, 648, 264, 688, 242?

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 901, 648, 264, 688, 242.

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}.