Given numbers are 242,400,174,712,488

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

The LCM of 242,400,174,712,488 is 22860433200.

Find LCM of 242,400,174,712,488 with Prime Factorization

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

2 x 2 x 2 x 121 x 50 x 87 x 89 x 61 = 22860433200

Therefore, the lowest common multiple of 242,400,174,712,488 is 22860433200.

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 400 x 174 x 712 x 488 = 5852270899200

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

174 : 1, 2, 3, 6, 29, 58, 87, 174

712 : 1, 2, 4, 8, 89, 178, 356, 712

488 : 1, 2, 4, 8, 61, 122, 244, 488

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,400,174,712,488, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

400:2x 2x 2x 2x 5x 5

174:2x 3x 29

712:2x 2x 2x 89

488:2x 2x 2x 61

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 2 = 128

Therefore, the value for common factors is 128.

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 = 5852270899200/(2x128)

LCM = 5852270899200/256

LCM = 22860433200

Thus, we can understand that the LCM of 242,400,174,712,488 is 22860433200.

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

• LCM of 117, 406, 249, 140, 998
• LCM of 987, 330, 941, 467, 181
• LCM of 495, 591, 279, 451, 837
• LCM of 477, 673, 111, 144, 150
• LCM of 193, 113, 808, 199, 892

1. What is the LCM of 242, 400, 174, 712, 488?

Answer: LCM of 242, 400, 174, 712, 488 is 22860433200.

2. How to calculate the LCM of 242, 400, 174, 712, 488?

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, 400, 174, 712, 488.

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}.