Given numbers are 228,276,451,299,584

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

The LCM of 228,276,451,299,584 is 4488853512.

Find LCM of 228,276,451,299,584 with Prime Factorization

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

2 x 2 x 3 x 23 x 19 x 1 x 451 x 13 x 146 = 4488853512

Therefore, the lowest common multiple of 228,276,451,299,584 is 4488853512.

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.

228 x 276 x 451 x 299 x 584 = 4955694277248

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.

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

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

451 : 1, 11, 41, 451

299 : 1, 13, 23, 299

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,276,451,299,584, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

276:2x 2x 3x 23

451:11x 41

299:13x 23

584:2x 2x 2x 73

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 4955694277248/(1x1104)

LCM = 4955694277248/1104

LCM = 4488853512

Thus, we can understand that the LCM of 228,276,451,299,584 is 4488853512.

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

• LCM of 860, 990, 661, 201, 839
• LCM of 533, 365, 905, 617, 695
• LCM of 321, 817, 951, 151, 720
• LCM of 205, 685, 144, 834, 585
• LCM of 355, 198, 969, 711, 269

1. What is the LCM of 228, 276, 451, 299, 584?

Answer: LCM of 228, 276, 451, 299, 584 is 4488853512.

2. How to calculate the LCM of 228, 276, 451, 299, 584?

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 228, 276, 451, 299, 584.

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}.