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LCM of 207, 182, 898, 494

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


Find the LCM of 207, 182, 898, 494 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 207, 182, 898, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,182,898,494

Given numbers are 207,182,898,494

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

The LCM of 207,182,898,494 is 321396894.

Find LCM of 207,182,898,494 with Prime Factorization


2 207, 182, 898, 494
13 207, 91, 449, 247
207, 7, 449, 19

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

2 x 13 x 207 x 7 x 449 x 19 = 321396894

Therefore, the lowest common multiple of 207,182,898,494 is 321396894.

LCM Formula to Find Lowest Common Multiple of 207,182,898,494

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.

207 x 182 x 898 x 494 = 16712638488

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.

207 : 1, 3, 9, 23, 69, 207

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

898 : 1, 2, 449, 898

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,182,898,494, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

182:2x 7x 13

898:2x 449

494:2x 13x 19

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

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 16712638488/(1x52)

LCM = 16712638488/52

LCM = 321396894

Thus, we can understand that the LCM of 207,182,898,494 is 321396894.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 182, 898, 494

1. What is the LCM of 207, 182, 898, 494?

Answer: LCM of 207, 182, 898, 494 is 321396894.

2. How to calculate the LCM of 207, 182, 898, 494?

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 207, 182, 898, 494.

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}.