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LCM of 364, 489, 585, 666

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


Find the LCM of 364, 489, 585, 666 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 364, 489, 585, 666. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,489,585,666

Given numbers are 364,489,585,666

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

The LCM of 364,489,585,666 is 98787780.

Find LCM of 364,489,585,666 with Prime Factorization


2 364, 489, 585, 666
3 182, 489, 585, 333
3 182, 163, 195, 111
13 182, 163, 65, 37
14, 163, 5, 37

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

2 x 3 x 3 x 13 x 14 x 163 x 5 x 37 = 98787780

Therefore, the lowest common multiple of 364,489,585,666 is 98787780.

LCM Formula to Find Lowest Common Multiple of 364,489,585,666

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.

364 x 489 x 585 x 666 = 69349021560

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

489 : 1, 3, 163, 489

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,489,585,666, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

489:3x 163

585:3x 3x 5x 13

666:2x 3x 3x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 69349021560/(1x702)

LCM = 69349021560/702

LCM = 98787780

Thus, we can understand that the LCM of 364,489,585,666 is 98787780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 489, 585, 666

1. What is the LCM of 364, 489, 585, 666?

Answer: LCM of 364, 489, 585, 666 is 98787780.

2. How to calculate the LCM of 364, 489, 585, 666?

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 364, 489, 585, 666.

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}.