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LCM of 665, 772, 865, 815

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


Find the LCM of 665, 772, 865, 815 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, 772, 865, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,772,865,815

Given numbers are 665,772,865,815

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

The LCM of 665,772,865,815 is 14476802620.

Find LCM of 665,772,865,815 with Prime Factorization


5 665, 772, 865, 815
133, 772, 173, 163

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

5 x 133 x 772 x 173 x 163 = 14476802620

Therefore, the lowest common multiple of 665,772,865,815 is 14476802620.

LCM Formula to Find Lowest Common Multiple of 665,772,865,815

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 772 x 865 x 815 = 361920065500

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

772 : 1, 2, 4, 193, 386, 772

865 : 1, 5, 173, 865

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,772,865,815, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

772:2x 2x 193

865:5x 173

815:5x 163

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 361920065500/(1x25)

LCM = 361920065500/25

LCM = 14476802620

Thus, we can understand that the LCM of 665,772,865,815 is 14476802620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 772, 865, 815

1. What is the LCM of 665, 772, 865, 815?

Answer: LCM of 665, 772, 865, 815 is 14476802620.

2. How to calculate the LCM of 665, 772, 865, 815?

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, 772, 865, 815.

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}.