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LCM of 16, 51, 93, 94, 259

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


Find the LCM of 16, 51, 93, 94, 259 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 16, 51, 93, 94, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 16,51,93,94,259

Given numbers are 16,51,93,94,259

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

The LCM of 16,51,93,94,259 is 307928208.

Find LCM of 16,51,93,94,259 with Prime Factorization


2 16, 51, 93, 94, 259
3 8, 51, 93, 47, 259
8, 17, 31, 47, 259

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

2 x 3 x 8 x 17 x 31 x 47 x 259 = 307928208

Therefore, the lowest common multiple of 16,51,93,94,259 is 307928208.

LCM Formula to Find Lowest Common Multiple of 16,51,93,94,259

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.

16 x 51 x 93 x 94 x 259 = 1847569248

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.

16 : 1, 2, 4, 8, 16

51 : 1, 3, 17, 51

93 : 1, 3, 31, 93

94 : 1, 2, 47, 94

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 16,51,93,94,259, is 1.

Now, the common factors can be found like this.

16:2x 2x 2x 2

51:3x 17

93:3x 31

94:2x 47

259:7x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1847569248/(1x6)

LCM = 1847569248/6

LCM = 307928208

Thus, we can understand that the LCM of 16,51,93,94,259 is 307928208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 16, 51, 93, 94, 259

1. What is the LCM of 16, 51, 93, 94, 259?

Answer: LCM of 16, 51, 93, 94, 259 is 307928208.

2. How to calculate the LCM of 16, 51, 93, 94, 259?

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 16, 51, 93, 94, 259.

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}.