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LCM of 865, 399, 732, 857

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


Find the LCM of 865, 399, 732, 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 865, 399, 732, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,399,732,857

Given numbers are 865,399,732,857

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

The LCM of 865,399,732,857 is 72170489580.

Find LCM of 865,399,732,857 with Prime Factorization


3 865, 399, 732, 857
865, 133, 244, 857

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

3 x 865 x 133 x 244 x 857 = 72170489580

Therefore, the lowest common multiple of 865,399,732,857 is 72170489580.

LCM Formula to Find Lowest Common Multiple of 865,399,732,857

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.

865 x 399 x 732 x 857 = 216511468740

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.

865 : 1, 5, 173, 865

399 : 1, 3, 7, 19, 21, 57, 133, 399

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,399,732,857, is 1.

Now, the common factors can be found like this.

865:5x 173

399:3x 7x 19

732:2x 2x 3x 61

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 216511468740/(1x3)

LCM = 216511468740/3

LCM = 72170489580

Thus, we can understand that the LCM of 865,399,732,857 is 72170489580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 399, 732, 857

1. What is the LCM of 865, 399, 732, 857?

Answer: LCM of 865, 399, 732, 857 is 72170489580.

2. How to calculate the LCM of 865, 399, 732, 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 865, 399, 732, 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}.