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LCM of 990, 241, 187, 408

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


Find the LCM of 990, 241, 187, 408 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 990, 241, 187, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,241,187,408

Given numbers are 990,241,187,408

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

The LCM of 990,241,187,408 is 16224120.

Find LCM of 990,241,187,408 with Prime Factorization


2 990, 241, 187, 408
3 495, 241, 187, 204
11 165, 241, 187, 68
17 15, 241, 17, 68
15, 241, 1, 4

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

2 x 3 x 11 x 17 x 15 x 241 x 1 x 4 = 16224120

Therefore, the lowest common multiple of 990,241,187,408 is 16224120.

LCM Formula to Find Lowest Common Multiple of 990,241,187,408

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.

990 x 241 x 187 x 408 = 18203462640

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

241 : 1, 241

187 : 1, 11, 17, 187

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,241,187,408, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

241:241

187:11x 17

408:2x 2x 2x 3x 17

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 11x 17 = 1122

Therefore, the value for common factors is 1122.

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 = 18203462640/(1x1122)

LCM = 18203462640/1122

LCM = 16224120

Thus, we can understand that the LCM of 990,241,187,408 is 16224120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 241, 187, 408

1. What is the LCM of 990, 241, 187, 408?

Answer: LCM of 990, 241, 187, 408 is 16224120.

2. How to calculate the LCM of 990, 241, 187, 408?

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 990, 241, 187, 408.

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}.