Given numbers are 224,258,614,201

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

The LCM of 224,258,614,201 is 594361824.

Find LCM of 224,258,614,201 with Prime Factorization

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

2 x 3 x 112 x 43 x 307 x 67 = 594361824

Therefore, the lowest common multiple of 224,258,614,201 is 594361824.

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.

224 x 258 x 614 x 201 = 7132341888

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

258 : 1, 2, 3, 6, 43, 86, 129, 258

614 : 1, 2, 307, 614

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,258,614,201, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

258:2x 3x 43

614:2x 307

201:3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7132341888/(1x12)

LCM = 7132341888/12

LCM = 594361824

Thus, we can understand that the LCM of 224,258,614,201 is 594361824.

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

• LCM of 743, 525, 544, 449
• LCM of 671, 516, 220, 511
• LCM of 415, 758, 387, 588
• LCM of 583, 362, 595, 240
• LCM of 246, 151, 856, 575

1. What is the LCM of 224, 258, 614, 201?

Answer: LCM of 224, 258, 614, 201 is 594361824.

2. How to calculate the LCM of 224, 258, 614, 201?

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 224, 258, 614, 201.

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}.