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LCM of 566, 706, 449, 367

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


Find the LCM of 566, 706, 449, 367 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 566, 706, 449, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,706,449,367

Given numbers are 566,706,449,367

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

The LCM of 566,706,449,367 is 32923313834.

Find LCM of 566,706,449,367 with Prime Factorization


2 566, 706, 449, 367
283, 353, 449, 367

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

2 x 283 x 353 x 449 x 367 = 32923313834

Therefore, the lowest common multiple of 566,706,449,367 is 32923313834.

LCM Formula to Find Lowest Common Multiple of 566,706,449,367

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.

566 x 706 x 449 x 367 = 65846627668

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.

566 : 1, 2, 283, 566

706 : 1, 2, 353, 706

449 : 1, 449

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,706,449,367, is 1.

Now, the common factors can be found like this.

566:2x 283

706:2x 353

449:449

367:367

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

2 = 2

Therefore, the value for common factors is 2.

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 = 65846627668/(1x2)

LCM = 65846627668/2

LCM = 32923313834

Thus, we can understand that the LCM of 566,706,449,367 is 32923313834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 706, 449, 367

1. What is the LCM of 566, 706, 449, 367?

Answer: LCM of 566, 706, 449, 367 is 32923313834.

2. How to calculate the LCM of 566, 706, 449, 367?

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 566, 706, 449, 367.

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}.