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LCM of 432, 802, 802, 502

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


Find the LCM of 432, 802, 802, 502 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 432, 802, 802, 502. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,802,802,502

Given numbers are 432,802,802,502

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

The LCM of 432,802,802,502 is 43481232.

Find LCM of 432,802,802,502 with Prime Factorization


2 432, 802, 802, 502
401 216, 401, 401, 251
216, 1, 1, 251

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

2 x 401 x 216 x 1 x 1 x 251 = 43481232

Therefore, the lowest common multiple of 432,802,802,502 is 43481232.

LCM Formula to Find Lowest Common Multiple of 432,802,802,502

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.

432 x 802 x 802 x 502 = 139487792256

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.

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

802 : 1, 2, 401, 802

802 : 1, 2, 401, 802

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,802,802,502, is 2.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

802:2x 401

802:2x 401

502:2x 251

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 401 = 1604

Therefore, the value for common factors is 1604.

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 = 139487792256/(2x1604)

LCM = 139487792256/3208

LCM = 43481232

Thus, we can understand that the LCM of 432,802,802,502 is 43481232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 802, 802, 502

1. What is the LCM of 432, 802, 802, 502?

Answer: LCM of 432, 802, 802, 502 is 43481232.

2. How to calculate the LCM of 432, 802, 802, 502?

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 432, 802, 802, 502.

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}.