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LCM of 162, 327, 219, 449, 642

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


Find the LCM of 162, 327, 219, 449, 642 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 162, 327, 219, 449, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,327,219,449,642

Given numbers are 162,327,219,449,642

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

The LCM of 162,327,219,449,642 is 61929060462.

Find LCM of 162,327,219,449,642 with Prime Factorization


2 162, 327, 219, 449, 642
3 81, 327, 219, 449, 321
27, 109, 73, 449, 107

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

2 x 3 x 27 x 109 x 73 x 449 x 107 = 61929060462

Therefore, the lowest common multiple of 162,327,219,449,642 is 61929060462.

LCM Formula to Find Lowest Common Multiple of 162,327,219,449,642

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.

162 x 327 x 219 x 449 x 642 = 3344169264948

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.

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

327 : 1, 3, 109, 327

219 : 1, 3, 73, 219

449 : 1, 449

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,327,219,449,642, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

327:3x 109

219:3x 73

449:449

642:2x 3x 107

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 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 3344169264948/(1x54)

LCM = 3344169264948/54

LCM = 61929060462

Thus, we can understand that the LCM of 162,327,219,449,642 is 61929060462.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 327, 219, 449, 642

1. What is the LCM of 162, 327, 219, 449, 642?

Answer: LCM of 162, 327, 219, 449, 642 is 61929060462.

2. How to calculate the LCM of 162, 327, 219, 449, 642?

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 162, 327, 219, 449, 642.

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}.