Given numbers are 314,692,356,478

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

The LCM of 314,692,356,478 is 2310966524.

Find LCM of 314,692,356,478 with Prime Factorization

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

2 x 2 x 157 x 173 x 89 x 239 = 2310966524

Therefore, the lowest common multiple of 314,692,356,478 is 2310966524.

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.

314 x 692 x 356 x 478 = 36975464384

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.

314 : 1, 2, 157, 314

692 : 1, 2, 4, 173, 346, 692

356 : 1, 2, 4, 89, 178, 356

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,692,356,478, is 2.

Now, the common factors can be found like this.

314:2x 157

692:2x 2x 173

356:2x 2x 89

478:2x 239

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 = 36975464384/(2x8)

LCM = 36975464384/16

LCM = 2310966524

Thus, we can understand that the LCM of 314,692,356,478 is 2310966524.

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

• LCM of 810, 683, 534, 287
• LCM of 308, 784, 192, 720
• LCM of 649, 823, 657, 162
• LCM of 893, 234, 530, 767
• LCM of 982, 218, 806, 212

1. What is the LCM of 314, 692, 356, 478?

Answer: LCM of 314, 692, 356, 478 is 2310966524.

2. How to calculate the LCM of 314, 692, 356, 478?

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 314, 692, 356, 478.

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}.