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LCM of 176, 451, 514, 664

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


Find the LCM of 176, 451, 514, 664 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 176, 451, 514, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 176,451,514,664

Given numbers are 176,451,514,664

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

The LCM of 176,451,514,664 is 153924496.

Find LCM of 176,451,514,664 with Prime Factorization


2 176, 451, 514, 664
2 88, 451, 257, 332
2 44, 451, 257, 166
11 22, 451, 257, 83
2, 41, 257, 83

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

2 x 2 x 2 x 11 x 2 x 41 x 257 x 83 = 153924496

Therefore, the lowest common multiple of 176,451,514,664 is 153924496.

LCM Formula to Find Lowest Common Multiple of 176,451,514,664

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.

176 x 451 x 514 x 664 = 27090711296

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.

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

451 : 1, 11, 41, 451

514 : 1, 2, 257, 514

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,451,514,664, is 1.

Now, the common factors can be found like this.

176:2x 2x 2x 2x 11

451:11x 41

514:2x 257

664:2x 2x 2x 83

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 11 = 176

Therefore, the value for common factors is 176.

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 = 27090711296/(1x176)

LCM = 27090711296/176

LCM = 153924496

Thus, we can understand that the LCM of 176,451,514,664 is 153924496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 176, 451, 514, 664

1. What is the LCM of 176, 451, 514, 664?

Answer: LCM of 176, 451, 514, 664 is 153924496.

2. How to calculate the LCM of 176, 451, 514, 664?

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 176, 451, 514, 664.

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}.