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LCM of 849, 283, 532, 327

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


Find the LCM of 849, 283, 532, 327 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 849, 283, 532, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,283,532,327

Given numbers are 849,283,532,327

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

The LCM of 849,283,532,327 is 49231812.

Find LCM of 849,283,532,327 with Prime Factorization


3 849, 283, 532, 327
283 283, 283, 532, 109
1, 1, 532, 109

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

3 x 283 x 1 x 1 x 532 x 109 = 49231812

Therefore, the lowest common multiple of 849,283,532,327 is 49231812.

LCM Formula to Find Lowest Common Multiple of 849,283,532,327

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.

849 x 283 x 532 x 327 = 41797808388

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.

849 : 1, 3, 283, 849

283 : 1, 283

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,283,532,327, is 1.

Now, the common factors can be found like this.

849:3x 283

283:283

532:2x 2x 7x 19

327:3x 109

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

3x 283 = 849

Therefore, the value for common factors is 849.

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 = 41797808388/(1x849)

LCM = 41797808388/849

LCM = 49231812

Thus, we can understand that the LCM of 849,283,532,327 is 49231812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 283, 532, 327

1. What is the LCM of 849, 283, 532, 327?

Answer: LCM of 849, 283, 532, 327 is 49231812.

2. How to calculate the LCM of 849, 283, 532, 327?

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 849, 283, 532, 327.

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}.