Given numbers are 827,319,406

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

The LCM of 827,319,406 is 3693382.

Find LCM of 827,319,406 with Prime Factorization

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

29 x 827 x 11 x 14 = 3693382

Therefore, the lowest common multiple of 827,319,406 is 3693382.

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.

827 x 319 x 406 = 107108078

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.

827 : 1, 827

319 : 1, 11, 29, 319

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,319,406, is 1.

Now, the common factors can be found like this.

827:827

319:11x 29

406:2x 7x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 107108078/(1x29)

LCM = 107108078/29

LCM = 3693382

Thus, we can understand that the LCM of 827,319,406 is 3693382.

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

• LCM of 826, 328, 484
• LCM of 644, 489, 159
• LCM of 254, 992, 783
• LCM of 799, 630, 563
• LCM of 772, 278, 807

1. What is the LCM of 827, 319, 406?

Answer: LCM of 827, 319, 406 is 3693382.

2. How to calculate the LCM of 827, 319, 406?

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 827, 319, 406.

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}.