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LCM of 566, 747, 814, 207, 470

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


Find the LCM of 566, 747, 814, 207, 470 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, 747, 814, 207, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 566,747,814,207,470

Given numbers are 566,747,814,207,470

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

The LCM of 566,747,814,207,470 is 930094637670.

Find LCM of 566,747,814,207,470 with Prime Factorization


2 566, 747, 814, 207, 470
3 283, 747, 407, 207, 235
3 283, 249, 407, 69, 235
283, 83, 407, 23, 235

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

2 x 3 x 3 x 283 x 83 x 407 x 23 x 235 = 930094637670

Therefore, the lowest common multiple of 566,747,814,207,470 is 930094637670.

LCM Formula to Find Lowest Common Multiple of 566,747,814,207,470

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 747 x 814 x 207 x 470 = 33483406956120

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

747 : 1, 3, 9, 83, 249, 747

814 : 1, 2, 11, 22, 37, 74, 407, 814

207 : 1, 3, 9, 23, 69, 207

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,747,814,207,470, is 1.

Now, the common factors can be found like this.

566:2x 283

747:3x 3x 83

814:2x 11x 37

207:3x 3x 23

470:2x 5x 47

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 33483406956120/(1x36)

LCM = 33483406956120/36

LCM = 930094637670

Thus, we can understand that the LCM of 566,747,814,207,470 is 930094637670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 566, 747, 814, 207, 470

1. What is the LCM of 566, 747, 814, 207, 470?

Answer: LCM of 566, 747, 814, 207, 470 is 930094637670.

2. How to calculate the LCM of 566, 747, 814, 207, 470?

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, 747, 814, 207, 470.

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}.