Given numbers are 161,12,314

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

The LCM of 161,12,314 is 303324.

Find LCM of 161,12,314 with Prime Factorization

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

2 x 161 x 6 x 157 = 303324

Therefore, the lowest common multiple of 161,12,314 is 303324.

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.

161 x 12 x 314 = 606648

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.

161 : 1, 7, 23, 161

12 : 1, 2, 3, 4, 6, 12

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,12,314, is 1.

Now, the common factors can be found like this.

161:7x 23

12:2x 2x 3

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 606648/(1x2)

LCM = 606648/2

LCM = 303324

Thus, we can understand that the LCM of 161,12,314 is 303324.

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

• LCM of 480, 72, 559
• LCM of 669, 59, 708
• LCM of 821, 13, 434
• LCM of 775, 57, 555
• LCM of 892, 18, 778

1. What is the LCM of 161, 12, 314?

Answer: LCM of 161, 12, 314 is 303324.

2. How to calculate the LCM of 161, 12, 314?

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 161, 12, 314.

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}.