Given numbers are 319,432,514

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

The LCM of 319,432,514 is 35416656.

Find LCM of 319,432,514 with Prime Factorization

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

2 x 319 x 216 x 257 = 35416656

Therefore, the lowest common multiple of 319,432,514 is 35416656.

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.

319 x 432 x 514 = 70833312

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.

319 : 1, 11, 29, 319

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,432,514, is 1.

Now, the common factors can be found like this.

319:11x 29

432:2x 2x 2x 2x 3x 3x 3

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.

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 = 70833312/(1x2)

LCM = 70833312/2

LCM = 35416656

Thus, we can understand that the LCM of 319,432,514 is 35416656.

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

• LCM of 549, 282, 337
• LCM of 919, 339, 897
• LCM of 832, 467, 229
• LCM of 477, 616, 769
• LCM of 701, 300, 426

1. What is the LCM of 319, 432, 514?

Answer: LCM of 319, 432, 514 is 35416656.

2. How to calculate the LCM of 319, 432, 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 319, 432, 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}.