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LCM of 660, 645, 864, 884

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


Find the LCM of 660, 645, 864, 884 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 660, 645, 864, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,645,864,884

Given numbers are 660,645,864,884

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

The LCM of 660,645,864,884 is 451582560.

Find LCM of 660,645,864,884 with Prime Factorization


2 660, 645, 864, 884
2 330, 645, 432, 442
3 165, 645, 216, 221
5 55, 215, 72, 221
11, 43, 72, 221

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

2 x 2 x 3 x 5 x 11 x 43 x 72 x 221 = 451582560

Therefore, the lowest common multiple of 660,645,864,884 is 451582560.

LCM Formula to Find Lowest Common Multiple of 660,645,864,884

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.

660 x 645 x 864 x 884 = 325139443200

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

645 : 1, 3, 5, 15, 43, 129, 215, 645

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,645,864,884, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

645:3x 5x 43

864:2x 2x 2x 2x 2x 3x 3x 3

884:2x 2x 13x 17

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 325139443200/(1x720)

LCM = 325139443200/720

LCM = 451582560

Thus, we can understand that the LCM of 660,645,864,884 is 451582560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 645, 864, 884

1. What is the LCM of 660, 645, 864, 884?

Answer: LCM of 660, 645, 864, 884 is 451582560.

2. How to calculate the LCM of 660, 645, 864, 884?

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 660, 645, 864, 884.

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}.