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LCM of 208, 986, 674, 307, 443

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


Find the LCM of 208, 986, 674, 307, 443 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, 986, 674, 307, 443. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,986,674,307,443

Given numbers are 208,986,674,307,443

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

The LCM of 208,986,674,307,443 is 4699831165328.

Find LCM of 208,986,674,307,443 with Prime Factorization


2 208, 986, 674, 307, 443
104, 493, 337, 307, 443

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

2 x 104 x 493 x 337 x 307 x 443 = 4699831165328

Therefore, the lowest common multiple of 208,986,674,307,443 is 4699831165328.

LCM Formula to Find Lowest Common Multiple of 208,986,674,307,443

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 986 x 674 x 307 x 443 = 18799324661312

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

674 : 1, 2, 337, 674

307 : 1, 307

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,986,674,307,443, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

986:2x 17x 29

674:2x 337

307:307

443:443

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18799324661312/(1x4)

LCM = 18799324661312/4

LCM = 4699831165328

Thus, we can understand that the LCM of 208,986,674,307,443 is 4699831165328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 986, 674, 307, 443

1. What is the LCM of 208, 986, 674, 307, 443?

Answer: LCM of 208, 986, 674, 307, 443 is 4699831165328.

2. How to calculate the LCM of 208, 986, 674, 307, 443?

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, 986, 674, 307, 443.

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}.