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LCM of 998, 209, 457, 720

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


Find the LCM of 998, 209, 457, 720 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 998, 209, 457, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,209,457,720

Given numbers are 998,209,457,720

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

The LCM of 998,209,457,720 is 34315910640.

Find LCM of 998,209,457,720 with Prime Factorization


2 998, 209, 457, 720
499, 209, 457, 360

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

2 x 499 x 209 x 457 x 360 = 34315910640

Therefore, the lowest common multiple of 998,209,457,720 is 34315910640.

LCM Formula to Find Lowest Common Multiple of 998,209,457,720

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.

998 x 209 x 457 x 720 = 68631821280

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.

998 : 1, 2, 499, 998

209 : 1, 11, 19, 209

457 : 1, 457

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,209,457,720, is 1.

Now, the common factors can be found like this.

998:2x 499

209:11x 19

457:457

720:2x 2x 2x 2x 3x 3x 5

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 = 68631821280/(1x2)

LCM = 68631821280/2

LCM = 34315910640

Thus, we can understand that the LCM of 998,209,457,720 is 34315910640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 209, 457, 720

1. What is the LCM of 998, 209, 457, 720?

Answer: LCM of 998, 209, 457, 720 is 34315910640.

2. How to calculate the LCM of 998, 209, 457, 720?

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 998, 209, 457, 720.

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}.