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LCM of 545, 450, 620, 513, 518

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


Find the LCM of 545, 450, 620, 513, 518 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 545, 450, 620, 513, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,450,620,513,518

Given numbers are 545,450,620,513,518

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

The LCM of 545,450,620,513,518 is 44895759300.

Find LCM of 545,450,620,513,518 with Prime Factorization


2 545, 450, 620, 513, 518
3 545, 225, 310, 513, 259
3 545, 75, 310, 171, 259
5 545, 25, 310, 57, 259
109, 5, 62, 57, 259

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

2 x 3 x 3 x 5 x 109 x 5 x 62 x 57 x 259 = 44895759300

Therefore, the lowest common multiple of 545,450,620,513,518 is 44895759300.

LCM Formula to Find Lowest Common Multiple of 545,450,620,513,518

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.

545 x 450 x 620 x 513 x 518 = 40406183370000

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.

545 : 1, 5, 109, 545

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,450,620,513,518, is 1.

Now, the common factors can be found like this.

545:5x 109

450:2x 3x 3x 5x 5

620:2x 2x 5x 31

513:3x 3x 3x 19

518:2x 7x 37

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 40406183370000/(1x900)

LCM = 40406183370000/900

LCM = 44895759300

Thus, we can understand that the LCM of 545,450,620,513,518 is 44895759300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 450, 620, 513, 518

1. What is the LCM of 545, 450, 620, 513, 518?

Answer: LCM of 545, 450, 620, 513, 518 is 44895759300.

2. How to calculate the LCM of 545, 450, 620, 513, 518?

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 545, 450, 620, 513, 518.

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}.