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LCM of 996, 283, 283, 408

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


Find the LCM of 996, 283, 283, 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 996, 283, 283, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,283,283,408

Given numbers are 996,283,283,408

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

The LCM of 996,283,283,408 is 9583512.

Find LCM of 996,283,283,408 with Prime Factorization


2 996, 283, 283, 408
2 498, 283, 283, 204
3 249, 283, 283, 102
283 83, 283, 283, 34
83, 1, 1, 34

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

2 x 2 x 3 x 283 x 83 x 1 x 1 x 34 = 9583512

Therefore, the lowest common multiple of 996,283,283,408 is 9583512.

LCM Formula to Find Lowest Common Multiple of 996,283,283,408

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.

996 x 283 x 283 x 408 = 32545606752

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

283 : 1, 283

283 : 1, 283

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 996,283,283,408, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

283:283

283:283

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 2x 3x 283 = 3396

Therefore, the value for common factors is 3396.

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 = 32545606752/(1x3396)

LCM = 32545606752/3396

LCM = 9583512

Thus, we can understand that the LCM of 996,283,283,408 is 9583512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 283, 283, 408

1. What is the LCM of 996, 283, 283, 408?

Answer: LCM of 996, 283, 283, 408 is 9583512.

2. How to calculate the LCM of 996, 283, 283, 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 996, 283, 283, 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}.