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LCM of 565, 758, 891, 901, 990

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


Find the LCM of 565, 758, 891, 901, 990 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 565, 758, 891, 901, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,758,891,901,990

Given numbers are 565,758,891,901,990

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

The LCM of 565,758,891,901,990 is 343811301570.

Find LCM of 565,758,891,901,990 with Prime Factorization


2 565, 758, 891, 901, 990
3 565, 379, 891, 901, 495
3 565, 379, 297, 901, 165
5 565, 379, 99, 901, 55
11 113, 379, 99, 901, 11
113, 379, 9, 901, 1

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

2 x 3 x 3 x 5 x 11 x 113 x 379 x 9 x 901 x 1 = 343811301570

Therefore, the lowest common multiple of 565,758,891,901,990 is 343811301570.

LCM Formula to Find Lowest Common Multiple of 565,758,891,901,990

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.

565 x 758 x 891 x 901 x 990 = 340373188554300

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.

565 : 1, 5, 113, 565

758 : 1, 2, 379, 758

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

901 : 1, 17, 53, 901

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,758,891,901,990, is 1.

Now, the common factors can be found like this.

565:5x 113

758:2x 379

891:3x 3x 3x 3x 11

901:17x 53

990:2x 3x 3x 5x 11

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 5x 11 = 990

Therefore, the value for common factors is 990.

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 = 340373188554300/(1x990)

LCM = 340373188554300/990

LCM = 343811301570

Thus, we can understand that the LCM of 565,758,891,901,990 is 343811301570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 758, 891, 901, 990

1. What is the LCM of 565, 758, 891, 901, 990?

Answer: LCM of 565, 758, 891, 901, 990 is 343811301570.

2. How to calculate the LCM of 565, 758, 891, 901, 990?

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 565, 758, 891, 901, 990.

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}.