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LCM of 609, 771, 159, 198, 798

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


Find the LCM of 609, 771, 159, 198, 798 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 609, 771, 159, 198, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,771,159,198,798

Given numbers are 609,771,159,198,798

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

The LCM of 609,771,159,198,798 is 10402167006.

Find LCM of 609,771,159,198,798 with Prime Factorization


2 609, 771, 159, 198, 798
3 609, 771, 159, 99, 399
7 203, 257, 53, 33, 133
29, 257, 53, 33, 19

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

2 x 3 x 7 x 29 x 257 x 53 x 33 x 19 = 10402167006

Therefore, the lowest common multiple of 609,771,159,198,798 is 10402167006.

LCM Formula to Find Lowest Common Multiple of 609,771,159,198,798

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.

609 x 771 x 159 x 198 x 798 = 11796057384804

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

771 : 1, 3, 257, 771

159 : 1, 3, 53, 159

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,771,159,198,798, is 3.

Now, the common factors can be found like this.

609:3x 7x 29

771:3x 257

159:3x 53

198:2x 3x 3x 11

798:2x 3x 7x 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 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 11796057384804/(3x378)

LCM = 11796057384804/1134

LCM = 10402167006

Thus, we can understand that the LCM of 609,771,159,198,798 is 10402167006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 771, 159, 198, 798

1. What is the LCM of 609, 771, 159, 198, 798?

Answer: LCM of 609, 771, 159, 198, 798 is 10402167006.

2. How to calculate the LCM of 609, 771, 159, 198, 798?

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 609, 771, 159, 198, 798.

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}.