Given numbers are 446,276,288,332,122

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

The LCM of 446,276,288,332,122 is 7478820576.

Find LCM of 446,276,288,332,122 with Prime Factorization

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

2 x 2 x 3 x 223 x 23 x 24 x 83 x 61 = 7478820576

Therefore, the lowest common multiple of 446,276,288,332,122 is 7478820576.

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.

446 x 276 x 288 x 332 x 122 = 1435933550592

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.

446 : 1, 2, 223, 446

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

332 : 1, 2, 4, 83, 166, 332

122 : 1, 2, 61, 122

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,276,288,332,122, is 2.

Now, the common factors can be found like this.

446:2x 223

276:2x 2x 3x 23

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

332:2x 2x 83

122:2x 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 3 = 96

Therefore, the value for common factors is 96.

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 = 1435933550592/(2x96)

LCM = 1435933550592/192

LCM = 7478820576

Thus, we can understand that the LCM of 446,276,288,332,122 is 7478820576.

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

• LCM of 450, 938, 833, 995, 182
• LCM of 879, 668, 619, 921, 243
• LCM of 930, 820, 131, 835, 241
• LCM of 220, 931, 992, 791, 611
• LCM of 492, 507, 289, 948, 515

1. What is the LCM of 446, 276, 288, 332, 122?

Answer: LCM of 446, 276, 288, 332, 122 is 7478820576.

2. How to calculate the LCM of 446, 276, 288, 332, 122?

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 446, 276, 288, 332, 122.

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}.