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LCM of 993, 613, 398, 998

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


Find the LCM of 993, 613, 398, 998 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 993, 613, 398, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,613,398,998

Given numbers are 993,613,398,998

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

The LCM of 993,613,398,998 is 120890824818.

Find LCM of 993,613,398,998 with Prime Factorization


2 993, 613, 398, 998
993, 613, 199, 499

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

2 x 993 x 613 x 199 x 499 = 120890824818

Therefore, the lowest common multiple of 993,613,398,998 is 120890824818.

LCM Formula to Find Lowest Common Multiple of 993,613,398,998

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.

993 x 613 x 398 x 998 = 241781649636

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.

993 : 1, 3, 331, 993

613 : 1, 613

398 : 1, 2, 199, 398

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,613,398,998, is 1.

Now, the common factors can be found like this.

993:3x 331

613:613

398:2x 199

998:2x 499

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 = 241781649636/(1x2)

LCM = 241781649636/2

LCM = 120890824818

Thus, we can understand that the LCM of 993,613,398,998 is 120890824818.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 613, 398, 998

1. What is the LCM of 993, 613, 398, 998?

Answer: LCM of 993, 613, 398, 998 is 120890824818.

2. How to calculate the LCM of 993, 613, 398, 998?

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 993, 613, 398, 998.

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}.