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LCM of 502, 163, 323, 836

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


Find the LCM of 502, 163, 323, 836 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 502, 163, 323, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,163,323,836

Given numbers are 502,163,323,836

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

The LCM of 502,163,323,836 is 581455556.

Find LCM of 502,163,323,836 with Prime Factorization


2 502, 163, 323, 836
19 251, 163, 323, 418
251, 163, 17, 22

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

2 x 19 x 251 x 163 x 17 x 22 = 581455556

Therefore, the lowest common multiple of 502,163,323,836 is 581455556.

LCM Formula to Find Lowest Common Multiple of 502,163,323,836

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.

502 x 163 x 323 x 836 = 22095311128

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.

502 : 1, 2, 251, 502

163 : 1, 163

323 : 1, 17, 19, 323

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,163,323,836, is 1.

Now, the common factors can be found like this.

502:2x 251

163:163

323:17x 19

836:2x 2x 11x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 22095311128/(1x38)

LCM = 22095311128/38

LCM = 581455556

Thus, we can understand that the LCM of 502,163,323,836 is 581455556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 163, 323, 836

1. What is the LCM of 502, 163, 323, 836?

Answer: LCM of 502, 163, 323, 836 is 581455556.

2. How to calculate the LCM of 502, 163, 323, 836?

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 502, 163, 323, 836.

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}.