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LCM of 983, 500, 484, 752, 898

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


Find the LCM of 983, 500, 484, 752, 898 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 983, 500, 484, 752, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,500,484,752,898

Given numbers are 983,500,484,752,898

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

The LCM of 983,500,484,752,898 is 5020108258000.

Find LCM of 983,500,484,752,898 with Prime Factorization


2 983, 500, 484, 752, 898
2 983, 250, 242, 376, 449
983, 125, 121, 188, 449

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

2 x 2 x 983 x 125 x 121 x 188 x 449 = 5020108258000

Therefore, the lowest common multiple of 983,500,484,752,898 is 5020108258000.

LCM Formula to Find Lowest Common Multiple of 983,500,484,752,898

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.

983 x 500 x 484 x 752 x 898 = 160643464256000

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.

983 : 1, 983

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,500,484,752,898, is 1.

Now, the common factors can be found like this.

983:983

500:2x 2x 5x 5x 5

484:2x 2x 11x 11

752:2x 2x 2x 2x 47

898:2x 449

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 2 = 32

Therefore, the value for common factors is 32.

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 = 160643464256000/(1x32)

LCM = 160643464256000/32

LCM = 5020108258000

Thus, we can understand that the LCM of 983,500,484,752,898 is 5020108258000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 500, 484, 752, 898

1. What is the LCM of 983, 500, 484, 752, 898?

Answer: LCM of 983, 500, 484, 752, 898 is 5020108258000.

2. How to calculate the LCM of 983, 500, 484, 752, 898?

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 983, 500, 484, 752, 898.

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}.