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LCM of 160, 410, 614, 589, 571

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


Find the LCM of 160, 410, 614, 589, 571 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 160, 410, 614, 589, 571. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 160,410,614,589,571

Given numbers are 160,410,614,589,571

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

The LCM of 160,410,614,589,571 is 677319560480.

Find LCM of 160,410,614,589,571 with Prime Factorization


2 160, 410, 614, 589, 571
5 80, 205, 307, 589, 571
16, 41, 307, 589, 571

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

2 x 5 x 16 x 41 x 307 x 589 x 571 = 677319560480

Therefore, the lowest common multiple of 160,410,614,589,571 is 677319560480.

LCM Formula to Find Lowest Common Multiple of 160,410,614,589,571

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.

160 x 410 x 614 x 589 x 571 = 13546391209600

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

410 : 1, 2, 5, 10, 41, 82, 205, 410

614 : 1, 2, 307, 614

589 : 1, 19, 31, 589

571 : 1, 571

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,410,614,589,571, is 1.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

410:2x 5x 41

614:2x 307

589:19x 31

571:571

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 5 = 20

Therefore, the value for common factors is 20.

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 = 13546391209600/(1x20)

LCM = 13546391209600/20

LCM = 677319560480

Thus, we can understand that the LCM of 160,410,614,589,571 is 677319560480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 160, 410, 614, 589, 571

1. What is the LCM of 160, 410, 614, 589, 571?

Answer: LCM of 160, 410, 614, 589, 571 is 677319560480.

2. How to calculate the LCM of 160, 410, 614, 589, 571?

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 160, 410, 614, 589, 571.

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}.