Given numbers are 314,180,199,514

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

The LCM of 314,180,199,514 is 1445301180.

Find LCM of 314,180,199,514 with Prime Factorization

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

2 x 157 x 90 x 199 x 257 = 1445301180

Therefore, the lowest common multiple of 314,180,199,514 is 1445301180.

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 180 x 199 x 514 = 5781204720

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

199 : 1, 199

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,180,199,514, is 1.

Now, the common factors can be found like this.

314:2x 157

180:2x 2x 3x 3x 5

199:199

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5781204720/(1x4)

LCM = 5781204720/4

LCM = 1445301180

Thus, we can understand that the LCM of 314,180,199,514 is 1445301180.

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

• LCM of 698, 370, 181, 819
• LCM of 722, 288, 507, 279
• LCM of 315, 247, 563, 310
• LCM of 211, 237, 143, 117
• LCM of 951, 700, 248, 771

1. What is the LCM of 314, 180, 199, 514?

Answer: LCM of 314, 180, 199, 514 is 1445301180.

2. How to calculate the LCM of 314, 180, 199, 514?

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, 180, 199, 514.

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}.