Given numbers are 307,201,224,104

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

The LCM of 307,201,224,104 is 179690784.

Find LCM of 307,201,224,104 with Prime Factorization

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

2 x 2 x 2 x 307 x 201 x 28 x 13 = 179690784

Therefore, the lowest common multiple of 307,201,224,104 is 179690784.

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.

307 x 201 x 224 x 104 = 1437526272

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.

307 : 1, 307

201 : 1, 3, 67, 201

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,201,224,104, is 1.

Now, the common factors can be found like this.

307:307

201:3x 67

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

104:2x 2x 2x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1437526272/(1x8)

LCM = 1437526272/8

LCM = 179690784

Thus, we can understand that the LCM of 307,201,224,104 is 179690784.

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

• LCM of 110, 959, 506, 449
• LCM of 823, 817, 619, 637
• LCM of 313, 990, 656, 139
• LCM of 660, 342, 526, 283
• LCM of 892, 309, 169, 691

1. What is the LCM of 307, 201, 224, 104?

Answer: LCM of 307, 201, 224, 104 is 179690784.

2. How to calculate the LCM of 307, 201, 224, 104?

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 307, 201, 224, 104.

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}.