Given numbers are 242,810,120,705,203

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

The LCM of 242,810,120,705,203 is 3740453640.

Find LCM of 242,810,120,705,203 with Prime Factorization

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

2 x 3 x 5 x 121 x 27 x 4 x 47 x 203 = 3740453640

Therefore, the lowest common multiple of 242,810,120,705,203 is 3740453640.

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 810 x 120 x 705 x 203 = 3366408276000

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

705 : 1, 3, 5, 15, 47, 141, 235, 705

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,810,120,705,203, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

810:2x 3x 3x 3x 3x 5

120:2x 2x 2x 3x 5

705:3x 5x 47

203:7x 29

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 3366408276000/(1x900)

LCM = 3366408276000/900

LCM = 3740453640

Thus, we can understand that the LCM of 242,810,120,705,203 is 3740453640.

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

• LCM of 720, 633, 656, 674, 282
• LCM of 962, 601, 689, 958, 449
• LCM of 812, 630, 750, 936, 556
• LCM of 358, 688, 476, 139, 176
• LCM of 413, 474, 354, 424, 376

1. What is the LCM of 242, 810, 120, 705, 203?

Answer: LCM of 242, 810, 120, 705, 203 is 3740453640.

2. How to calculate the LCM of 242, 810, 120, 705, 203?

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, 810, 120, 705, 203.

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}.