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LCM of 966, 460, 406, 217

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


Find the LCM of 966, 460, 406, 217 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 966, 460, 406, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,460,406,217

Given numbers are 966,460,406,217

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

The LCM of 966,460,406,217 is 8684340.

Find LCM of 966,460,406,217 with Prime Factorization


2 966, 460, 406, 217
7 483, 230, 203, 217
23 69, 230, 29, 31
3, 10, 29, 31

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

2 x 7 x 23 x 3 x 10 x 29 x 31 = 8684340

Therefore, the lowest common multiple of 966,460,406,217 is 8684340.

LCM Formula to Find Lowest Common Multiple of 966,460,406,217

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.

966 x 460 x 406 x 217 = 39149004720

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.

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

406 : 1, 2, 7, 14, 29, 58, 203, 406

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,460,406,217, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

460:2x 2x 5x 23

406:2x 7x 29

217:7x 31

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 7x 7x 23 = 4508

Therefore, the value for common factors is 4508.

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 = 39149004720/(1x4508)

LCM = 39149004720/4508

LCM = 8684340

Thus, we can understand that the LCM of 966,460,406,217 is 8684340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 460, 406, 217

1. What is the LCM of 966, 460, 406, 217?

Answer: LCM of 966, 460, 406, 217 is 8684340.

2. How to calculate the LCM of 966, 460, 406, 217?

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 966, 460, 406, 217.

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}.