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LCM of 510, 408, 864, 428, 732

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


Find the LCM of 510, 408, 864, 428, 732 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 510, 408, 864, 428, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,408,864,428,732

Given numbers are 510,408,864,428,732

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

The LCM of 510,408,864,428,732 is 479342880.

Find LCM of 510,408,864,428,732 with Prime Factorization


2 510, 408, 864, 428, 732
2 255, 204, 432, 214, 366
2 255, 102, 216, 107, 183
3 255, 51, 108, 107, 183
17 85, 17, 36, 107, 61
5, 1, 36, 107, 61

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

2 x 2 x 2 x 3 x 17 x 5 x 1 x 36 x 107 x 61 = 479342880

Therefore, the lowest common multiple of 510,408,864,428,732 is 479342880.

LCM Formula to Find Lowest Common Multiple of 510,408,864,428,732

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.

510 x 408 x 864 x 428 x 732 = 56324705771520

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

428 : 1, 2, 4, 107, 214, 428

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,408,864,428,732, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

408:2x 2x 2x 3x 17

864:2x 2x 2x 2x 2x 3x 3x 3

428:2x 2x 107

732:2x 2x 3x 61

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 2x 2x 2x 2x 2x 3x 3x 3x 17 = 58752

Therefore, the value for common factors is 58752.

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 = 56324705771520/(2x58752)

LCM = 56324705771520/117504

LCM = 479342880

Thus, we can understand that the LCM of 510,408,864,428,732 is 479342880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 408, 864, 428, 732

1. What is the LCM of 510, 408, 864, 428, 732?

Answer: LCM of 510, 408, 864, 428, 732 is 479342880.

2. How to calculate the LCM of 510, 408, 864, 428, 732?

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 510, 408, 864, 428, 732.

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}.