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LCM of 849, 469, 629, 493, 385

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


Find the LCM of 849, 469, 629, 493, 385 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, 469, 629, 493, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,469,629,493,385

Given numbers are 849,469,629,493,385

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

The LCM of 849,469,629,493,385 is 399477079155.

Find LCM of 849,469,629,493,385 with Prime Factorization


7 849, 469, 629, 493, 385
17 849, 67, 629, 493, 55
849, 67, 37, 29, 55

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

7 x 17 x 849 x 67 x 37 x 29 x 55 = 399477079155

Therefore, the lowest common multiple of 849,469,629,493,385 is 399477079155.

LCM Formula to Find Lowest Common Multiple of 849,469,629,493,385

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 469 x 629 x 493 x 385 = 47537772419445

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

469 : 1, 7, 67, 469

629 : 1, 17, 37, 629

493 : 1, 17, 29, 493

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,469,629,493,385, is 1.

Now, the common factors can be found like this.

849:3x 283

469:7x 67

629:17x 37

493:17x 29

385:5x 7x 11

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

7x 17 = 119

Therefore, the value for common factors is 119.

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 = 47537772419445/(1x119)

LCM = 47537772419445/119

LCM = 399477079155

Thus, we can understand that the LCM of 849,469,629,493,385 is 399477079155.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 469, 629, 493, 385

1. What is the LCM of 849, 469, 629, 493, 385?

Answer: LCM of 849, 469, 629, 493, 385 is 399477079155.

2. How to calculate the LCM of 849, 469, 629, 493, 385?

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, 469, 629, 493, 385.

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}.