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LCM of 436, 191, 412, 162

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


Find the LCM of 436, 191, 412, 162 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 436, 191, 412, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,191,412,162

Given numbers are 436,191,412,162

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

The LCM of 436,191,412,162 is 694771668.

Find LCM of 436,191,412,162 with Prime Factorization


2 436, 191, 412, 162
2 218, 191, 206, 81
109, 191, 103, 81

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

2 x 2 x 109 x 191 x 103 x 81 = 694771668

Therefore, the lowest common multiple of 436,191,412,162 is 694771668.

LCM Formula to Find Lowest Common Multiple of 436,191,412,162

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.

436 x 191 x 412 x 162 = 5558173344

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.

436 : 1, 2, 4, 109, 218, 436

191 : 1, 191

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,191,412,162, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

191:191

412:2x 2x 103

162:2x 3x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5558173344/(1x8)

LCM = 5558173344/8

LCM = 694771668

Thus, we can understand that the LCM of 436,191,412,162 is 694771668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 191, 412, 162

1. What is the LCM of 436, 191, 412, 162?

Answer: LCM of 436, 191, 412, 162 is 694771668.

2. How to calculate the LCM of 436, 191, 412, 162?

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 436, 191, 412, 162.

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}.