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LCM of 99, 74, 999

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 99, 74, 999 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 99, 74, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 99,74,999

Given numbers are 99,74,999

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

The LCM of 99,74,999 is 21978.

Find LCM of 99,74,999 with Prime Factorization


3 99, 74, 999
3 33, 74, 333
37 11, 74, 111
11, 2, 3

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

3 x 3 x 37 x 11 x 2 x 3 = 21978

Therefore, the lowest common multiple of 99,74,999 is 21978.

LCM Formula to Find Lowest Common Multiple of 99,74,999

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 74 x 999 = 7318674

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

74 : 1, 2, 37, 74

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 99,74,999, is 1.

Now, the common factors can be found like this.

99:3x 3x 11

74:2x 37

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.

3x 3x 37 = 333

Therefore, the value for common factors is 333.

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 = 7318674/(1x333)

LCM = 7318674/333

LCM = 21978

Thus, we can understand that the LCM of 99,74,999 is 21978.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 99, 74, 999

1. What is the LCM of 99, 74, 999?

Answer: LCM of 99, 74, 999 is 21978.

2. How to calculate the LCM of 99, 74, 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 99, 74, 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}.