Given numbers are 828,537,319

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

The LCM of 828,537,319 is 47279628.

Find LCM of 828,537,319 with Prime Factorization

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

3 x 276 x 179 x 319 = 47279628

Therefore, the lowest common multiple of 828,537,319 is 47279628.

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.

828 x 537 x 319 = 141838884

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

537 : 1, 3, 179, 537

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,537,319, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

537:3x 179

319:11x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 141838884/(1x3)

LCM = 141838884/3

LCM = 47279628

Thus, we can understand that the LCM of 828,537,319 is 47279628.

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

• LCM of 297, 216, 630
• LCM of 311, 799, 806
• LCM of 904, 111, 734
• LCM of 937, 801, 515
• LCM of 179, 562, 712

1. What is the LCM of 828, 537, 319?

Answer: LCM of 828, 537, 319 is 47279628.

2. How to calculate the LCM of 828, 537, 319?

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 828, 537, 319.

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}.