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LCM of 665, 170, 511, 661, 857

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


Find the LCM of 665, 170, 511, 661, 857 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 665, 170, 511, 661, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,170,511,661,857

Given numbers are 665,170,511,661,857

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

The LCM of 665,170,511,661,857 is 934987282810.

Find LCM of 665,170,511,661,857 with Prime Factorization


5 665, 170, 511, 661, 857
7 133, 34, 511, 661, 857
19, 34, 73, 661, 857

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

5 x 7 x 19 x 34 x 73 x 661 x 857 = 934987282810

Therefore, the lowest common multiple of 665,170,511,661,857 is 934987282810.

LCM Formula to Find Lowest Common Multiple of 665,170,511,661,857

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.

665 x 170 x 511 x 661 x 857 = 32724554898350

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.

665 : 1, 5, 7, 19, 35, 95, 133, 665

170 : 1, 2, 5, 10, 17, 34, 85, 170

511 : 1, 7, 73, 511

661 : 1, 661

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,170,511,661,857, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

170:2x 5x 17

511:7x 73

661:661

857:857

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 32724554898350/(1x35)

LCM = 32724554898350/35

LCM = 934987282810

Thus, we can understand that the LCM of 665,170,511,661,857 is 934987282810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 170, 511, 661, 857

1. What is the LCM of 665, 170, 511, 661, 857?

Answer: LCM of 665, 170, 511, 661, 857 is 934987282810.

2. How to calculate the LCM of 665, 170, 511, 661, 857?

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 665, 170, 511, 661, 857.

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}.