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LCM of 208, 309, 338, 416

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


Find the LCM of 208, 309, 338, 416 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 208, 309, 338, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,309,338,416

Given numbers are 208,309,338,416

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

The LCM of 208,309,338,416 is 1671072.

Find LCM of 208,309,338,416 with Prime Factorization


2 208, 309, 338, 416
2 104, 309, 169, 208
2 52, 309, 169, 104
2 26, 309, 169, 52
13 13, 309, 169, 26
1, 309, 13, 2

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

2 x 2 x 2 x 2 x 13 x 1 x 309 x 13 x 2 = 1671072

Therefore, the lowest common multiple of 208,309,338,416 is 1671072.

LCM Formula to Find Lowest Common Multiple of 208,309,338,416

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.

208 x 309 x 338 x 416 = 9037157376

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

309 : 1, 3, 103, 309

338 : 1, 2, 13, 26, 169, 338

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,309,338,416, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

309:3x 103

338:2x 13x 13

416:2x 2x 2x 2x 2x 13

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 2x 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 9037157376/(1x5408)

LCM = 9037157376/5408

LCM = 1671072

Thus, we can understand that the LCM of 208,309,338,416 is 1671072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 309, 338, 416

1. What is the LCM of 208, 309, 338, 416?

Answer: LCM of 208, 309, 338, 416 is 1671072.

2. How to calculate the LCM of 208, 309, 338, 416?

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 208, 309, 338, 416.

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}.