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LCM of 209, 816, 386, 781, 808

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


Find the LCM of 209, 816, 386, 781, 808 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 209, 816, 386, 781, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,816,386,781,808

Given numbers are 209,816,386,781,808

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

The LCM of 209,816,386,781,808 is 236033407632.

Find LCM of 209,816,386,781,808 with Prime Factorization


2 209, 816, 386, 781, 808
2 209, 408, 193, 781, 404
2 209, 204, 193, 781, 202
11 209, 102, 193, 781, 101
19, 102, 193, 71, 101

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

2 x 2 x 2 x 11 x 19 x 102 x 193 x 71 x 101 = 236033407632

Therefore, the lowest common multiple of 209,816,386,781,808 is 236033407632.

LCM Formula to Find Lowest Common Multiple of 209,816,386,781,808

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.

209 x 816 x 386 x 781 x 808 = 41541879743232

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.

209 : 1, 11, 19, 209

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

386 : 1, 2, 193, 386

781 : 1, 11, 71, 781

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,816,386,781,808, is 1.

Now, the common factors can be found like this.

209:11x 19

816:2x 2x 2x 2x 3x 17

386:2x 193

781:11x 71

808:2x 2x 2x 101

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 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 41541879743232/(1x176)

LCM = 41541879743232/176

LCM = 236033407632

Thus, we can understand that the LCM of 209,816,386,781,808 is 236033407632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 816, 386, 781, 808

1. What is the LCM of 209, 816, 386, 781, 808?

Answer: LCM of 209, 816, 386, 781, 808 is 236033407632.

2. How to calculate the LCM of 209, 816, 386, 781, 808?

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 209, 816, 386, 781, 808.

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}.