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LCM of 569, 966, 180, 284

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


Find the LCM of 569, 966, 180, 284 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 569, 966, 180, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,966,180,284

Given numbers are 569,966,180,284

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

The LCM of 569,966,180,284 is 1170763020.

Find LCM of 569,966,180,284 with Prime Factorization


2 569, 966, 180, 284
2 569, 483, 90, 142
3 569, 483, 45, 71
569, 161, 15, 71

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

2 x 2 x 3 x 569 x 161 x 15 x 71 = 1170763020

Therefore, the lowest common multiple of 569,966,180,284 is 1170763020.

LCM Formula to Find Lowest Common Multiple of 569,966,180,284

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.

569 x 966 x 180 x 284 = 28098312480

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.

569 : 1, 569

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,966,180,284, is 1.

Now, the common factors can be found like this.

569:569

966:2x 3x 7x 23

180:2x 2x 3x 3x 5

284:2x 2x 71

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 28098312480/(1x24)

LCM = 28098312480/24

LCM = 1170763020

Thus, we can understand that the LCM of 569,966,180,284 is 1170763020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 966, 180, 284

1. What is the LCM of 569, 966, 180, 284?

Answer: LCM of 569, 966, 180, 284 is 1170763020.

2. How to calculate the LCM of 569, 966, 180, 284?

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 569, 966, 180, 284.

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}.