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LCM of 64, 51, 86, 86, 329

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


Find the LCM of 64, 51, 86, 86, 329 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 64, 51, 86, 86, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 64,51,86,86,329

Given numbers are 64,51,86,86,329

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

The LCM of 64,51,86,86,329 is 46175808.

Find LCM of 64,51,86,86,329 with Prime Factorization


2 64, 51, 86, 86, 329
43 32, 51, 43, 43, 329
32, 51, 1, 1, 329

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

2 x 43 x 32 x 51 x 1 x 1 x 329 = 46175808

Therefore, the lowest common multiple of 64,51,86,86,329 is 46175808.

LCM Formula to Find Lowest Common Multiple of 64,51,86,86,329

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.

64 x 51 x 86 x 86 x 329 = 7942238976

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.

64 : 1, 2, 4, 8, 16, 32, 64

51 : 1, 3, 17, 51

86 : 1, 2, 43, 86

86 : 1, 2, 43, 86

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 64,51,86,86,329, is 1.

Now, the common factors can be found like this.

64:2x 2x 2x 2x 2x 2

51:3x 17

86:2x 43

86:2x 43

329:7x 47

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 43 = 172

Therefore, the value for common factors is 172.

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 = 7942238976/(1x172)

LCM = 7942238976/172

LCM = 46175808

Thus, we can understand that the LCM of 64,51,86,86,329 is 46175808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 64, 51, 86, 86, 329

1. What is the LCM of 64, 51, 86, 86, 329?

Answer: LCM of 64, 51, 86, 86, 329 is 46175808.

2. How to calculate the LCM of 64, 51, 86, 86, 329?

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 64, 51, 86, 86, 329.

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}.