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LCM of 165, 514, 457, 510

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


Find the LCM of 165, 514, 457, 510 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 165, 514, 457, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,514,457,510

Given numbers are 165,514,457,510

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

The LCM of 165,514,457,510 is 658888890.

Find LCM of 165,514,457,510 with Prime Factorization


2 165, 514, 457, 510
3 165, 257, 457, 255
5 55, 257, 457, 85
11, 257, 457, 17

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

2 x 3 x 5 x 11 x 257 x 457 x 17 = 658888890

Therefore, the lowest common multiple of 165,514,457,510 is 658888890.

LCM Formula to Find Lowest Common Multiple of 165,514,457,510

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.

165 x 514 x 457 x 510 = 19766666700

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

514 : 1, 2, 257, 514

457 : 1, 457

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,514,457,510, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

514:2x 257

457:457

510:2x 3x 5x 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 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 19766666700/(1x30)

LCM = 19766666700/30

LCM = 658888890

Thus, we can understand that the LCM of 165,514,457,510 is 658888890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 514, 457, 510

1. What is the LCM of 165, 514, 457, 510?

Answer: LCM of 165, 514, 457, 510 is 658888890.

2. How to calculate the LCM of 165, 514, 457, 510?

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 165, 514, 457, 510.

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}.