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LCM of 393, 505, 524, 440

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


Find the LCM of 393, 505, 524, 440 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 393, 505, 524, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,505,524,440

Given numbers are 393,505,524,440

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

The LCM of 393,505,524,440 is 17464920.

Find LCM of 393,505,524,440 with Prime Factorization


2 393, 505, 524, 440
2 393, 505, 262, 220
5 393, 505, 131, 110
131 393, 101, 131, 22
3, 101, 1, 22

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

2 x 2 x 5 x 131 x 3 x 101 x 1 x 22 = 17464920

Therefore, the lowest common multiple of 393,505,524,440 is 17464920.

LCM Formula to Find Lowest Common Multiple of 393,505,524,440

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.

393 x 505 x 524 x 440 = 45758090400

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.

393 : 1, 3, 131, 393

505 : 1, 5, 101, 505

524 : 1, 2, 4, 131, 262, 524

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,505,524,440, is 1.

Now, the common factors can be found like this.

393:3x 131

505:5x 101

524:2x 2x 131

440:2x 2x 2x 5x 11

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 5x 131 = 2620

Therefore, the value for common factors is 2620.

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 = 45758090400/(1x2620)

LCM = 45758090400/2620

LCM = 17464920

Thus, we can understand that the LCM of 393,505,524,440 is 17464920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 505, 524, 440

1. What is the LCM of 393, 505, 524, 440?

Answer: LCM of 393, 505, 524, 440 is 17464920.

2. How to calculate the LCM of 393, 505, 524, 440?

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 393, 505, 524, 440.

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}.