LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 208, 341, 341, 566, 262

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


Find the LCM of 208, 341, 341, 566, 262 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, 341, 341, 566, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,341,341,566,262

Given numbers are 208,341,341,566,262

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

The LCM of 208,341,341,566,262 is 2629513744.

Find LCM of 208,341,341,566,262 with Prime Factorization


2 208, 341, 341, 566, 262
11 104, 341, 341, 283, 131
31 104, 31, 31, 283, 131
104, 1, 1, 283, 131

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

2 x 11 x 31 x 104 x 1 x 1 x 283 x 131 = 2629513744

Therefore, the lowest common multiple of 208,341,341,566,262 is 2629513744.

LCM Formula to Find Lowest Common Multiple of 208,341,341,566,262

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 341 x 341 x 566 x 262 = 3586656746816

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

341 : 1, 11, 31, 341

341 : 1, 11, 31, 341

566 : 1, 2, 283, 566

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,341,341,566,262, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

341:11x 31

341:11x 31

566:2x 283

262:2x 131

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 11x 31 = 1364

Therefore, the value for common factors is 1364.

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 = 3586656746816/(1x1364)

LCM = 3586656746816/1364

LCM = 2629513744

Thus, we can understand that the LCM of 208,341,341,566,262 is 2629513744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 341, 341, 566, 262

1. What is the LCM of 208, 341, 341, 566, 262?

Answer: LCM of 208, 341, 341, 566, 262 is 2629513744.

2. How to calculate the LCM of 208, 341, 341, 566, 262?

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, 341, 341, 566, 262.

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}.