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LCM of 990, 849, 566, 279

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


Find the LCM of 990, 849, 566, 279 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, 849, 566, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,849,566,279

Given numbers are 990,849,566,279

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

The LCM of 990,849,566,279 is 8685270.

Find LCM of 990,849,566,279 with Prime Factorization


2 990, 849, 566, 279
3 495, 849, 283, 279
3 165, 283, 283, 93
283 55, 283, 283, 31
55, 1, 1, 31

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

2 x 3 x 3 x 283 x 55 x 1 x 1 x 31 = 8685270

Therefore, the lowest common multiple of 990,849,566,279 is 8685270.

LCM Formula to Find Lowest Common Multiple of 990,849,566,279

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 849 x 566 x 279 = 132728296140

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

849 : 1, 3, 283, 849

566 : 1, 2, 283, 566

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,849,566,279, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

849:3x 283

566:2x 283

279:3x 3x 31

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 283 = 15282

Therefore, the value for common factors is 15282.

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 = 132728296140/(1x15282)

LCM = 132728296140/15282

LCM = 8685270

Thus, we can understand that the LCM of 990,849,566,279 is 8685270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 849, 566, 279

1. What is the LCM of 990, 849, 566, 279?

Answer: LCM of 990, 849, 566, 279 is 8685270.

2. How to calculate the LCM of 990, 849, 566, 279?

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, 849, 566, 279.

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}.