Given numbers are 99,19,407

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

The LCM of 99,19,407 is 69597.

Find LCM of 99,19,407 with Prime Factorization

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

11 x 9 x 19 x 37 = 69597

Therefore, the lowest common multiple of 99,19,407 is 69597.

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.

99 x 19 x 407 = 765567

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.

99 : 1, 3, 9, 11, 33, 99

19 : 1, 19

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 99,19,407, is 1.

Now, the common factors can be found like this.

99:3x 3x 11

19:19

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 765567/(1x11)

LCM = 765567/11

LCM = 69597

Thus, we can understand that the LCM of 99,19,407 is 69597.

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

• LCM of 67, 20, 573
• LCM of 16, 79, 545
• LCM of 97, 19, 425
• LCM of 24, 53, 636
• LCM of 20, 31, 467

1. What is the LCM of 99, 19, 407?

Answer: LCM of 99, 19, 407 is 69597.

2. How to calculate the LCM of 99, 19, 407?

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 99, 19, 407.

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}.