Given numbers are 821,5514,999

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

The LCM of 821,5514,999 is 1507489002.

Find LCM of 821,5514,999 with Prime Factorization

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

3 x 821 x 1838 x 333 = 1507489002

Therefore, the lowest common multiple of 821,5514,999 is 1507489002.

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.

821 x 5514 x 999 = 4522467006

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.

821 : 1, 821

5514 : 1, 2, 3, 6, 919, 1838, 2757, 5514

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,5514,999, is 1.

Now, the common factors can be found like this.

821:821

5514:2x 3x 919

999:3x 3x 3x 37

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 = 4522467006/(1x3)

LCM = 4522467006/3

LCM = 1507489002

Thus, we can understand that the LCM of 821,5514,999 is 1507489002.

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

• LCM of 599, 3140, 945
• LCM of 189, 2622, 354
• LCM of 393, 9445, 209
• LCM of 411, 2626, 478
• LCM of 994, 6232, 710

1. What is the LCM of 821, 5514, 999?

Answer: LCM of 821, 5514, 999 is 1507489002.

2. How to calculate the LCM of 821, 5514, 999?

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 821, 5514, 999.

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}.