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LCM of 622, 469, 949, 576

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


Find the LCM of 622, 469, 949, 576 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 622, 469, 949, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,469,949,576

Given numbers are 622,469,949,576

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

The LCM of 622,469,949,576 is 79730030016.

Find LCM of 622,469,949,576 with Prime Factorization


2 622, 469, 949, 576
311, 469, 949, 288

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

2 x 311 x 469 x 949 x 288 = 79730030016

Therefore, the lowest common multiple of 622,469,949,576 is 79730030016.

LCM Formula to Find Lowest Common Multiple of 622,469,949,576

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.

622 x 469 x 949 x 576 = 159460060032

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.

622 : 1, 2, 311, 622

469 : 1, 7, 67, 469

949 : 1, 13, 73, 949

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,469,949,576, is 1.

Now, the common factors can be found like this.

622:2x 311

469:7x 67

949:13x 73

576:2x 2x 2x 2x 2x 2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 159460060032/(1x2)

LCM = 159460060032/2

LCM = 79730030016

Thus, we can understand that the LCM of 622,469,949,576 is 79730030016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 469, 949, 576

1. What is the LCM of 622, 469, 949, 576?

Answer: LCM of 622, 469, 949, 576 is 79730030016.

2. How to calculate the LCM of 622, 469, 949, 576?

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 622, 469, 949, 576.

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}.