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LCM of 792, 445, 570, 209

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


Find the LCM of 792, 445, 570, 209 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 792, 445, 570, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,445,570,209

Given numbers are 792,445,570,209

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

The LCM of 792,445,570,209 is 6696360.

Find LCM of 792,445,570,209 with Prime Factorization


2 792, 445, 570, 209
3 396, 445, 285, 209
5 132, 445, 95, 209
11 132, 89, 19, 209
19 12, 89, 19, 19
12, 89, 1, 1

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

2 x 3 x 5 x 11 x 19 x 12 x 89 x 1 x 1 = 6696360

Therefore, the lowest common multiple of 792,445,570,209 is 6696360.

LCM Formula to Find Lowest Common Multiple of 792,445,570,209

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.

792 x 445 x 570 x 209 = 41986177200

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

445 : 1, 5, 89, 445

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,445,570,209, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

445:5x 89

570:2x 3x 5x 19

209:11x 19

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 5x 11x 19 = 6270

Therefore, the value for common factors is 6270.

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 = 41986177200/(1x6270)

LCM = 41986177200/6270

LCM = 6696360

Thus, we can understand that the LCM of 792,445,570,209 is 6696360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 445, 570, 209

1. What is the LCM of 792, 445, 570, 209?

Answer: LCM of 792, 445, 570, 209 is 6696360.

2. How to calculate the LCM of 792, 445, 570, 209?

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 792, 445, 570, 209.

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}.