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LCM of 998, 881, 146, 809

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


Find the LCM of 998, 881, 146, 809 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, 881, 146, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,881,146,809

Given numbers are 998,881,146,809

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

The LCM of 998,881,146,809 is 51925158566.

Find LCM of 998,881,146,809 with Prime Factorization


2 998, 881, 146, 809
499, 881, 73, 809

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

2 x 499 x 881 x 73 x 809 = 51925158566

Therefore, the lowest common multiple of 998,881,146,809 is 51925158566.

LCM Formula to Find Lowest Common Multiple of 998,881,146,809

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 881 x 146 x 809 = 103850317132

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

881 : 1, 881

146 : 1, 2, 73, 146

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,881,146,809, is 1.

Now, the common factors can be found like this.

998:2x 499

881:881

146:2x 73

809:809

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 = 103850317132/(1x2)

LCM = 103850317132/2

LCM = 51925158566

Thus, we can understand that the LCM of 998,881,146,809 is 51925158566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 881, 146, 809

1. What is the LCM of 998, 881, 146, 809?

Answer: LCM of 998, 881, 146, 809 is 51925158566.

2. How to calculate the LCM of 998, 881, 146, 809?

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, 881, 146, 809.

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}.