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LCM of 272, 622, 460, 622, 747

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


Find the LCM of 272, 622, 460, 622, 747 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 272, 622, 460, 622, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,622,460,622,747

Given numbers are 272,622,460,622,747

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

The LCM of 272,622,460,622,747 is 7266875760.

Find LCM of 272,622,460,622,747 with Prime Factorization


2 272, 622, 460, 622, 747
2 136, 311, 230, 311, 747
311 68, 311, 115, 311, 747
68, 1, 115, 1, 747

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

2 x 2 x 311 x 68 x 1 x 115 x 1 x 747 = 7266875760

Therefore, the lowest common multiple of 272,622,460,622,747 is 7266875760.

LCM Formula to Find Lowest Common Multiple of 272,622,460,622,747

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.

272 x 622 x 460 x 622 x 747 = 36159973781760

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

622 : 1, 2, 311, 622

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

622 : 1, 2, 311, 622

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,622,460,622,747, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

622:2x 311

460:2x 2x 5x 23

622:2x 311

747:3x 3x 83

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 2x 2x 311 = 4976

Therefore, the value for common factors is 4976.

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 = 36159973781760/(1x4976)

LCM = 36159973781760/4976

LCM = 7266875760

Thus, we can understand that the LCM of 272,622,460,622,747 is 7266875760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 622, 460, 622, 747

1. What is the LCM of 272, 622, 460, 622, 747?

Answer: LCM of 272, 622, 460, 622, 747 is 7266875760.

2. How to calculate the LCM of 272, 622, 460, 622, 747?

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 272, 622, 460, 622, 747.

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}.