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LCM of 860, 566, 395, 824

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


Find the LCM of 860, 566, 395, 824 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 860, 566, 395, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,566,395,824

Given numbers are 860,566,395,824

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

The LCM of 860,566,395,824 is 3960766120.

Find LCM of 860,566,395,824 with Prime Factorization


2 860, 566, 395, 824
2 430, 283, 395, 412
5 215, 283, 395, 206
43, 283, 79, 206

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

2 x 2 x 5 x 43 x 283 x 79 x 206 = 3960766120

Therefore, the lowest common multiple of 860,566,395,824 is 3960766120.

LCM Formula to Find Lowest Common Multiple of 860,566,395,824

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.

860 x 566 x 395 x 824 = 158430644800

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

566 : 1, 2, 283, 566

395 : 1, 5, 79, 395

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,566,395,824, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

566:2x 283

395:5x 79

824:2x 2x 2x 103

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 158430644800/(1x40)

LCM = 158430644800/40

LCM = 3960766120

Thus, we can understand that the LCM of 860,566,395,824 is 3960766120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 566, 395, 824

1. What is the LCM of 860, 566, 395, 824?

Answer: LCM of 860, 566, 395, 824 is 3960766120.

2. How to calculate the LCM of 860, 566, 395, 824?

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 860, 566, 395, 824.

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}.