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LCM of 668, 873, 888, 816

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


Find the LCM of 668, 873, 888, 816 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 668, 873, 888, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,873,888,816

Given numbers are 668,873,888,816

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

The LCM of 668,873,888,816 is 1467240624.

Find LCM of 668,873,888,816 with Prime Factorization


2 668, 873, 888, 816
2 334, 873, 444, 408
2 167, 873, 222, 204
3 167, 873, 111, 102
167, 291, 37, 34

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

2 x 2 x 2 x 3 x 167 x 291 x 37 x 34 = 1467240624

Therefore, the lowest common multiple of 668,873,888,816 is 1467240624.

LCM Formula to Find Lowest Common Multiple of 668,873,888,816

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.

668 x 873 x 888 x 816 = 422565299712

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.

668 : 1, 2, 4, 167, 334, 668

873 : 1, 3, 9, 97, 291, 873

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,873,888,816, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

873:3x 3x 97

888:2x 2x 2x 3x 37

816:2x 2x 2x 2x 3x 17

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 422565299712/(1x288)

LCM = 422565299712/288

LCM = 1467240624

Thus, we can understand that the LCM of 668,873,888,816 is 1467240624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 873, 888, 816

1. What is the LCM of 668, 873, 888, 816?

Answer: LCM of 668, 873, 888, 816 is 1467240624.

2. How to calculate the LCM of 668, 873, 888, 816?

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 668, 873, 888, 816.

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}.