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LCM of 465, 777, 518, 455, 525

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


Find the LCM of 465, 777, 518, 455, 525 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 465, 777, 518, 455, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 465,777,518,455,525

Given numbers are 465,777,518,455,525

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

The LCM of 465,777,518,455,525 is 15656550.

Find LCM of 465,777,518,455,525 with Prime Factorization


3 465, 777, 518, 455, 525
5 155, 259, 518, 455, 175
7 31, 259, 518, 91, 35
37 31, 37, 74, 13, 5
31, 1, 2, 13, 5

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

3 x 5 x 7 x 37 x 31 x 1 x 2 x 13 x 5 = 15656550

Therefore, the lowest common multiple of 465,777,518,455,525 is 15656550.

LCM Formula to Find Lowest Common Multiple of 465,777,518,455,525

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.

465 x 777 x 518 x 455 x 525 = 44706887111250

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.

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

518 : 1, 2, 7, 14, 37, 74, 259, 518

455 : 1, 5, 7, 13, 35, 65, 91, 455

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,777,518,455,525, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

777:3x 7x 37

518:2x 7x 37

455:5x 7x 13

525:3x 5x 5x 7

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

3x 3x 5x 5x 7x 7x 7x 37 = 2855475

Therefore, the value for common factors is 2855475.

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 = 44706887111250/(1x2855475)

LCM = 44706887111250/2855475

LCM = 15656550

Thus, we can understand that the LCM of 465,777,518,455,525 is 15656550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 465, 777, 518, 455, 525

1. What is the LCM of 465, 777, 518, 455, 525?

Answer: LCM of 465, 777, 518, 455, 525 is 15656550.

2. How to calculate the LCM of 465, 777, 518, 455, 525?

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 465, 777, 518, 455, 525.

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}.