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LCM of 259, 189, 297, 793, 807

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


Find the LCM of 259, 189, 297, 793, 807 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 259, 189, 297, 793, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,189,297,793,807

Given numbers are 259,189,297,793,807

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

The LCM of 259,189,297,793,807 is 16408983591.

Find LCM of 259,189,297,793,807 with Prime Factorization


3 259, 189, 297, 793, 807
3 259, 63, 99, 793, 269
3 259, 21, 33, 793, 269
7 259, 7, 11, 793, 269
37, 1, 11, 793, 269

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

3 x 3 x 3 x 7 x 37 x 1 x 11 x 793 x 269 = 16408983591

Therefore, the lowest common multiple of 259,189,297,793,807 is 16408983591.

LCM Formula to Find Lowest Common Multiple of 259,189,297,793,807

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.

259 x 189 x 297 x 793 x 807 = 9303893696097

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.

259 : 1, 7, 37, 259

189 : 1, 3, 7, 9, 21, 27, 63, 189

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

793 : 1, 13, 61, 793

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,189,297,793,807, is 1.

Now, the common factors can be found like this.

259:7x 37

189:3x 3x 3x 7

297:3x 3x 3x 11

793:13x 61

807:3x 269

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

3x 3x 3x 3x 7 = 567

Therefore, the value for common factors is 567.

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 = 9303893696097/(1x567)

LCM = 9303893696097/567

LCM = 16408983591

Thus, we can understand that the LCM of 259,189,297,793,807 is 16408983591.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 189, 297, 793, 807

1. What is the LCM of 259, 189, 297, 793, 807?

Answer: LCM of 259, 189, 297, 793, 807 is 16408983591.

2. How to calculate the LCM of 259, 189, 297, 793, 807?

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 259, 189, 297, 793, 807.

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}.