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LCM of 498, 910, 629, 898, 929

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


Find the LCM of 498, 910, 629, 898, 929 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 498, 910, 629, 898, 929. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 498,910,629,898,929

Given numbers are 498,910,629,898,929

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

The LCM of 498,910,629,898,929 is 59450216408310.

Find LCM of 498,910,629,898,929 with Prime Factorization


2 498, 910, 629, 898, 929
249, 455, 629, 449, 929

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

2 x 249 x 455 x 629 x 449 x 929 = 59450216408310

Therefore, the lowest common multiple of 498,910,629,898,929 is 59450216408310.

LCM Formula to Find Lowest Common Multiple of 498,910,629,898,929

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.

498 x 910 x 629 x 898 x 929 = 237800865633240

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

629 : 1, 17, 37, 629

898 : 1, 2, 449, 898

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,910,629,898,929, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

910:2x 5x 7x 13

629:17x 37

898:2x 449

929:929

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 237800865633240/(1x4)

LCM = 237800865633240/4

LCM = 59450216408310

Thus, we can understand that the LCM of 498,910,629,898,929 is 59450216408310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 498, 910, 629, 898, 929

1. What is the LCM of 498, 910, 629, 898, 929?

Answer: LCM of 498, 910, 629, 898, 929 is 59450216408310.

2. How to calculate the LCM of 498, 910, 629, 898, 929?

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 498, 910, 629, 898, 929.

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}.