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LCM of 998, 454, 837, 138, 465

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


Find the LCM of 998, 454, 837, 138, 465 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, 454, 837, 138, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,454,837,138,465

Given numbers are 998,454,837,138,465

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

The LCM of 998,454,837,138,465 is 21806185230.

Find LCM of 998,454,837,138,465 with Prime Factorization


2 998, 454, 837, 138, 465
3 499, 227, 837, 69, 465
31 499, 227, 279, 23, 155
499, 227, 9, 23, 5

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

2 x 3 x 31 x 499 x 227 x 9 x 23 x 5 = 21806185230

Therefore, the lowest common multiple of 998,454,837,138,465 is 21806185230.

LCM Formula to Find Lowest Common Multiple of 998,454,837,138,465

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 454 x 837 x 138 x 465 = 24335702716680

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

454 : 1, 2, 227, 454

837 : 1, 3, 9, 27, 31, 93, 279, 837

138 : 1, 2, 3, 6, 23, 46, 69, 138

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,454,837,138,465, is 1.

Now, the common factors can be found like this.

998:2x 499

454:2x 227

837:3x 3x 3x 31

138:2x 3x 23

465:3x 5x 31

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 3x 3x 31 = 1116

Therefore, the value for common factors is 1116.

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 = 24335702716680/(1x1116)

LCM = 24335702716680/1116

LCM = 21806185230

Thus, we can understand that the LCM of 998,454,837,138,465 is 21806185230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 454, 837, 138, 465

1. What is the LCM of 998, 454, 837, 138, 465?

Answer: LCM of 998, 454, 837, 138, 465 is 21806185230.

2. How to calculate the LCM of 998, 454, 837, 138, 465?

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, 454, 837, 138, 465.

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}.