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LCM of 668, 198, 999, 333

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


Find the LCM of 668, 198, 999, 333 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 668, 198, 999, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,198,999,333

Given numbers are 668,198,999,333

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

The LCM of 668,198,999,333 is 7340652.

Find LCM of 668,198,999,333 with Prime Factorization


2 668, 198, 999, 333
3 334, 99, 999, 333
3 334, 33, 111, 333
37 334, 11, 37, 111
334, 11, 1, 3

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

2 x 3 x 3 x 37 x 334 x 11 x 1 x 3 = 7340652

Therefore, the lowest common multiple of 668,198,999,333 is 7340652.

LCM Formula to Find Lowest Common Multiple of 668,198,999,333

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.

668 x 198 x 999 x 333 = 43999868088

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.

668 : 1, 2, 4, 167, 334, 668

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,198,999,333, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

198:2x 3x 3x 11

999:3x 3x 3x 37

333:3x 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.

2x 3x 3x 3x 3x 37 = 5994

Therefore, the value for common factors is 5994.

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 = 43999868088/(1x5994)

LCM = 43999868088/5994

LCM = 7340652

Thus, we can understand that the LCM of 668,198,999,333 is 7340652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 198, 999, 333

1. What is the LCM of 668, 198, 999, 333?

Answer: LCM of 668, 198, 999, 333 is 7340652.

2. How to calculate the LCM of 668, 198, 999, 333?

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 668, 198, 999, 333.

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}.