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LCM of 6, 149, 289, 289

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


Find the LCM of 6, 149, 289, 289 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 6, 149, 289, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,149,289,289

Given numbers are 6,149,289,289

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

The LCM of 6,149,289,289 is 258366.

Find LCM of 6,149,289,289 with Prime Factorization


17 6, 149, 289, 289
17 6, 149, 17, 17
6, 149, 1, 1

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

17 x 17 x 6 x 149 x 1 x 1 = 258366

Therefore, the lowest common multiple of 6,149,289,289 is 258366.

LCM Formula to Find Lowest Common Multiple of 6,149,289,289

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.

6 x 149 x 289 x 289 = 74667774

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.

6 : 1, 2, 3, 6

149 : 1, 149

289 : 1, 17, 289

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,149,289,289, is 1.

Now, the common factors can be found like this.

6:2x 3

149:149

289:17x 17

289:17x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 74667774/(1x289)

LCM = 74667774/289

LCM = 258366

Thus, we can understand that the LCM of 6,149,289,289 is 258366.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 149, 289, 289

1. What is the LCM of 6, 149, 289, 289?

Answer: LCM of 6, 149, 289, 289 is 258366.

2. How to calculate the LCM of 6, 149, 289, 289?

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 6, 149, 289, 289.

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}.