Given numbers are 242,334,228,415,162

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

The LCM of 242,334,228,415,162 is 51623631180.

Find LCM of 242,334,228,415,162 with Prime Factorization

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

2 x 3 x 121 x 167 x 38 x 415 x 27 = 51623631180

Therefore, the lowest common multiple of 242,334,228,415,162 is 51623631180.

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 334 x 228 x 415 x 162 = 1238967148320

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

334 : 1, 2, 167, 334

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

415 : 1, 5, 83, 415

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,334,228,415,162, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

334:2x 167

228:2x 2x 3x 19

415:5x 83

162:2x 3x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1238967148320/(1x24)

LCM = 1238967148320/24

LCM = 51623631180

Thus, we can understand that the LCM of 242,334,228,415,162 is 51623631180.

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

• LCM of 296, 522, 541, 614, 500
• LCM of 154, 224, 999, 984, 836
• LCM of 579, 338, 537, 499, 100
• LCM of 916, 824, 625, 637, 656
• LCM of 414, 271, 525, 456, 569

1. What is the LCM of 242, 334, 228, 415, 162?

Answer: LCM of 242, 334, 228, 415, 162 is 51623631180.

2. How to calculate the LCM of 242, 334, 228, 415, 162?

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, 334, 228, 415, 162.

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}.