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LCM of 221, 519, 833, 849

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


Find the LCM of 221, 519, 833, 849 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 221, 519, 833, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,519,833,849

Given numbers are 221,519,833,849

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

The LCM of 221,519,833,849 is 1590531033.

Find LCM of 221,519,833,849 with Prime Factorization


3 221, 519, 833, 849
17 221, 173, 833, 283
13, 173, 49, 283

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

3 x 17 x 13 x 173 x 49 x 283 = 1590531033

Therefore, the lowest common multiple of 221,519,833,849 is 1590531033.

LCM Formula to Find Lowest Common Multiple of 221,519,833,849

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.

221 x 519 x 833 x 849 = 81117082683

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.

221 : 1, 13, 17, 221

519 : 1, 3, 173, 519

833 : 1, 7, 17, 49, 119, 833

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,519,833,849, is 1.

Now, the common factors can be found like this.

221:13x 17

519:3x 173

833:7x 7x 17

849:3x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 81117082683/(1x51)

LCM = 81117082683/51

LCM = 1590531033

Thus, we can understand that the LCM of 221,519,833,849 is 1590531033.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 519, 833, 849

1. What is the LCM of 221, 519, 833, 849?

Answer: LCM of 221, 519, 833, 849 is 1590531033.

2. How to calculate the LCM of 221, 519, 833, 849?

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 221, 519, 833, 849.

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}.