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LCM of 630, 173, 608, 891, 291

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


Find the LCM of 630, 173, 608, 891, 291 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 630, 173, 608, 891, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,173,608,891,291

Given numbers are 630,173,608,891,291

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

The LCM of 630,173,608,891,291 is 318175814880.

Find LCM of 630,173,608,891,291 with Prime Factorization


2 630, 173, 608, 891, 291
3 315, 173, 304, 891, 291
3 105, 173, 304, 297, 97
35, 173, 304, 99, 97

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

2 x 3 x 3 x 35 x 173 x 304 x 99 x 97 = 318175814880

Therefore, the lowest common multiple of 630,173,608,891,291 is 318175814880.

LCM Formula to Find Lowest Common Multiple of 630,173,608,891,291

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.

630 x 173 x 608 x 891 x 291 = 17181494003520

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

173 : 1, 173

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,173,608,891,291, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

173:173

608:2x 2x 2x 2x 2x 19

891:3x 3x 3x 3x 11

291:3x 97

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 3 = 54

Therefore, the value for common factors is 54.

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 = 17181494003520/(1x54)

LCM = 17181494003520/54

LCM = 318175814880

Thus, we can understand that the LCM of 630,173,608,891,291 is 318175814880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 173, 608, 891, 291

1. What is the LCM of 630, 173, 608, 891, 291?

Answer: LCM of 630, 173, 608, 891, 291 is 318175814880.

2. How to calculate the LCM of 630, 173, 608, 891, 291?

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 630, 173, 608, 891, 291.

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}.