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LCM of 283, 208, 143, 511

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


Find the LCM of 283, 208, 143, 511 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 283, 208, 143, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,208,143,511

Given numbers are 283,208,143,511

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

The LCM of 283,208,143,511 is 330874544.

Find LCM of 283,208,143,511 with Prime Factorization


13 283, 208, 143, 511
283, 16, 11, 511

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

13 x 283 x 16 x 11 x 511 = 330874544

Therefore, the lowest common multiple of 283,208,143,511 is 330874544.

LCM Formula to Find Lowest Common Multiple of 283,208,143,511

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.

283 x 208 x 143 x 511 = 4301369072

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.

283 : 1, 283

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

143 : 1, 11, 13, 143

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,208,143,511, is 1.

Now, the common factors can be found like this.

283:283

208:2x 2x 2x 2x 13

143:11x 13

511:7x 73

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

13 = 13

Therefore, the value for common factors is 13.

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 = 4301369072/(1x13)

LCM = 4301369072/13

LCM = 330874544

Thus, we can understand that the LCM of 283,208,143,511 is 330874544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 208, 143, 511

1. What is the LCM of 283, 208, 143, 511?

Answer: LCM of 283, 208, 143, 511 is 330874544.

2. How to calculate the LCM of 283, 208, 143, 511?

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 283, 208, 143, 511.

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}.