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LCM of 481, 286, 353, 662, 206

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


Find the LCM of 481, 286, 353, 662, 206 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 481, 286, 353, 662, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,286,353,662,206

Given numbers are 481,286,353,662,206

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

The LCM of 481,286,353,662,206 is 127352560478.

Find LCM of 481,286,353,662,206 with Prime Factorization


2 481, 286, 353, 662, 206
13 481, 143, 353, 331, 103
37, 11, 353, 331, 103

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

2 x 13 x 37 x 11 x 353 x 331 x 103 = 127352560478

Therefore, the lowest common multiple of 481,286,353,662,206 is 127352560478.

LCM Formula to Find Lowest Common Multiple of 481,286,353,662,206

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.

481 x 286 x 353 x 662 x 206 = 6622333144856

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.

481 : 1, 13, 37, 481

286 : 1, 2, 11, 13, 22, 26, 143, 286

353 : 1, 353

662 : 1, 2, 331, 662

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,286,353,662,206, is 1.

Now, the common factors can be found like this.

481:13x 37

286:2x 11x 13

353:353

662:2x 331

206:2x 103

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 = 6622333144856/(1x52)

LCM = 6622333144856/52

LCM = 127352560478

Thus, we can understand that the LCM of 481,286,353,662,206 is 127352560478.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 286, 353, 662, 206

1. What is the LCM of 481, 286, 353, 662, 206?

Answer: LCM of 481, 286, 353, 662, 206 is 127352560478.

2. How to calculate the LCM of 481, 286, 353, 662, 206?

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 481, 286, 353, 662, 206.

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}.