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LCM of 513, 473, 164, 836

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


Find the LCM of 513, 473, 164, 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 513, 473, 164, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,473,164,836

Given numbers are 513,473,164,836

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

The LCM of 513,473,164,836 is 39794436.

Find LCM of 513,473,164,836 with Prime Factorization


2 513, 473, 164, 836
2 513, 473, 82, 418
11 513, 473, 41, 209
19 513, 43, 41, 19
27, 43, 41, 1

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

2 x 2 x 11 x 19 x 27 x 43 x 41 x 1 = 39794436

Therefore, the lowest common multiple of 513,473,164,836 is 39794436.

LCM Formula to Find Lowest Common Multiple of 513,473,164,836

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.

513 x 473 x 164 x 836 = 33268148496

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.

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

473 : 1, 11, 43, 473

164 : 1, 2, 4, 41, 82, 164

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 513,473,164,836, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

473:11x 43

164:2x 2x 41

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 2x 11x 19 = 836

Therefore, the value for common factors is 836.

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 = 33268148496/(1x836)

LCM = 33268148496/836

LCM = 39794436

Thus, we can understand that the LCM of 513,473,164,836 is 39794436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 473, 164, 836

1. What is the LCM of 513, 473, 164, 836?

Answer: LCM of 513, 473, 164, 836 is 39794436.

2. How to calculate the LCM of 513, 473, 164, 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 513, 473, 164, 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}.