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LCM of 998, 958, 821, 741

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


Find the LCM of 998, 958, 821, 741 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, 958, 821, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,958,821,741

Given numbers are 998,958,821,741

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

The LCM of 998,958,821,741 is 290822109162.

Find LCM of 998,958,821,741 with Prime Factorization


2 998, 958, 821, 741
499, 479, 821, 741

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

2 x 499 x 479 x 821 x 741 = 290822109162

Therefore, the lowest common multiple of 998,958,821,741 is 290822109162.

LCM Formula to Find Lowest Common Multiple of 998,958,821,741

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 958 x 821 x 741 = 581644218324

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

958 : 1, 2, 479, 958

821 : 1, 821

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,958,821,741, is 1.

Now, the common factors can be found like this.

998:2x 499

958:2x 479

821:821

741:3x 13x 19

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 = 581644218324/(1x2)

LCM = 581644218324/2

LCM = 290822109162

Thus, we can understand that the LCM of 998,958,821,741 is 290822109162.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 958, 821, 741

1. What is the LCM of 998, 958, 821, 741?

Answer: LCM of 998, 958, 821, 741 is 290822109162.

2. How to calculate the LCM of 998, 958, 821, 741?

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, 958, 821, 741.

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}.