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LCM of 407, 836, 162, 111

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


Find the LCM of 407, 836, 162, 111 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 407, 836, 162, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,836,162,111

Given numbers are 407,836,162,111

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

The LCM of 407,836,162,111 is 2505492.

Find LCM of 407,836,162,111 with Prime Factorization


2 407, 836, 162, 111
3 407, 418, 81, 111
11 407, 418, 27, 37
37 37, 38, 27, 37
1, 38, 27, 1

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

2 x 3 x 11 x 37 x 1 x 38 x 27 x 1 = 2505492

Therefore, the lowest common multiple of 407,836,162,111 is 2505492.

LCM Formula to Find Lowest Common Multiple of 407,836,162,111

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.

407 x 836 x 162 x 111 = 6118411464

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.

407 : 1, 11, 37, 407

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,836,162,111, is 1.

Now, the common factors can be found like this.

407:11x 37

836:2x 2x 11x 19

162:2x 3x 3x 3x 3

111:3x 37

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

2x 3x 11x 37 = 2442

Therefore, the value for common factors is 2442.

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 = 6118411464/(1x2442)

LCM = 6118411464/2442

LCM = 2505492

Thus, we can understand that the LCM of 407,836,162,111 is 2505492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 836, 162, 111

1. What is the LCM of 407, 836, 162, 111?

Answer: LCM of 407, 836, 162, 111 is 2505492.

2. How to calculate the LCM of 407, 836, 162, 111?

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 407, 836, 162, 111.

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}.