Given numbers are 315,687,274,402

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

The LCM of 315,687,274,402 is 1324254330.

Find LCM of 315,687,274,402 with Prime Factorization

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

2 x 3 x 105 x 229 x 137 x 67 = 1324254330

Therefore, the lowest common multiple of 315,687,274,402 is 1324254330.

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.

315 x 687 x 274 x 402 = 23836577940

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

687 : 1, 3, 229, 687

274 : 1, 2, 137, 274

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,687,274,402, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

687:3x 229

274:2x 137

402:2x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 23836577940/(1x18)

LCM = 23836577940/18

LCM = 1324254330

Thus, we can understand that the LCM of 315,687,274,402 is 1324254330.

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

• LCM of 342, 316, 311, 872
• LCM of 561, 704, 528, 749
• LCM of 215, 803, 499, 622
• LCM of 716, 370, 197, 910
• LCM of 230, 433, 281, 888

1. What is the LCM of 315, 687, 274, 402?

Answer: LCM of 315, 687, 274, 402 is 1324254330.

2. How to calculate the LCM of 315, 687, 274, 402?

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 315, 687, 274, 402.

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}.