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LCM of 550, 465, 169, 725, 514

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


Find the LCM of 550, 465, 169, 725, 514 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 550, 465, 169, 725, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,465,169,725,514

Given numbers are 550,465,169,725,514

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

The LCM of 550,465,169,725,514 is 64426340550.

Find LCM of 550,465,169,725,514 with Prime Factorization


2 550, 465, 169, 725, 514
5 275, 465, 169, 725, 257
5 55, 93, 169, 145, 257
11, 93, 169, 29, 257

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

2 x 5 x 5 x 11 x 93 x 169 x 29 x 257 = 64426340550

Therefore, the lowest common multiple of 550,465,169,725,514 is 64426340550.

LCM Formula to Find Lowest Common Multiple of 550,465,169,725,514

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.

550 x 465 x 169 x 725 x 514 = 16106585137500

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

465 : 1, 3, 5, 15, 31, 93, 155, 465

169 : 1, 13, 169

725 : 1, 5, 25, 29, 145, 725

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,465,169,725,514, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

465:3x 5x 31

169:13x 13

725:5x 5x 29

514:2x 257

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

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 16106585137500/(1x250)

LCM = 16106585137500/250

LCM = 64426340550

Thus, we can understand that the LCM of 550,465,169,725,514 is 64426340550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 465, 169, 725, 514

1. What is the LCM of 550, 465, 169, 725, 514?

Answer: LCM of 550, 465, 169, 725, 514 is 64426340550.

2. How to calculate the LCM of 550, 465, 169, 725, 514?

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 550, 465, 169, 725, 514.

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}.