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LCM of 574, 272, 629, 807

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


Find the LCM of 574, 272, 629, 807 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 574, 272, 629, 807. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,272,629,807

Given numbers are 574,272,629,807

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

The LCM of 574,272,629,807 is 2330912976.

Find LCM of 574,272,629,807 with Prime Factorization


2 574, 272, 629, 807
17 287, 136, 629, 807
287, 8, 37, 807

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

2 x 17 x 287 x 8 x 37 x 807 = 2330912976

Therefore, the lowest common multiple of 574,272,629,807 is 2330912976.

LCM Formula to Find Lowest Common Multiple of 574,272,629,807

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.

574 x 272 x 629 x 807 = 79251041184

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

629 : 1, 17, 37, 629

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,272,629,807, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

272:2x 2x 2x 2x 17

629:17x 37

807:3x 269

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 79251041184/(1x34)

LCM = 79251041184/34

LCM = 2330912976

Thus, we can understand that the LCM of 574,272,629,807 is 2330912976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 272, 629, 807

1. What is the LCM of 574, 272, 629, 807?

Answer: LCM of 574, 272, 629, 807 is 2330912976.

2. How to calculate the LCM of 574, 272, 629, 807?

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 574, 272, 629, 807.

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}.