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LCM of 449, 182, 793, 712

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


Find the LCM of 449, 182, 793, 712 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 449, 182, 793, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,182,793,712

Given numbers are 449,182,793,712

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

The LCM of 449,182,793,712 is 1774588088.

Find LCM of 449,182,793,712 with Prime Factorization


2 449, 182, 793, 712
13 449, 91, 793, 356
449, 7, 61, 356

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

2 x 13 x 449 x 7 x 61 x 356 = 1774588088

Therefore, the lowest common multiple of 449,182,793,712 is 1774588088.

LCM Formula to Find Lowest Common Multiple of 449,182,793,712

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.

449 x 182 x 793 x 712 = 46139290288

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.

449 : 1, 449

182 : 1, 2, 7, 13, 14, 26, 91, 182

793 : 1, 13, 61, 793

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,182,793,712, is 1.

Now, the common factors can be found like this.

449:449

182:2x 7x 13

793:13x 61

712:2x 2x 2x 89

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 46139290288/(1x26)

LCM = 46139290288/26

LCM = 1774588088

Thus, we can understand that the LCM of 449,182,793,712 is 1774588088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 182, 793, 712

1. What is the LCM of 449, 182, 793, 712?

Answer: LCM of 449, 182, 793, 712 is 1774588088.

2. How to calculate the LCM of 449, 182, 793, 712?

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 449, 182, 793, 712.

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}.