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LCM of 998, 323, 271, 852, 130

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


Find the LCM of 998, 323, 271, 852, 130 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, 323, 271, 852, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,323,271,852,130

Given numbers are 998,323,271,852,130

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

The LCM of 998,323,271,852,130 is 2418941192460.

Find LCM of 998,323,271,852,130 with Prime Factorization


2 998, 323, 271, 852, 130
499, 323, 271, 426, 65

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

2 x 499 x 323 x 271 x 426 x 65 = 2418941192460

Therefore, the lowest common multiple of 998,323,271,852,130 is 2418941192460.

LCM Formula to Find Lowest Common Multiple of 998,323,271,852,130

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 323 x 271 x 852 x 130 = 9675764769840

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

323 : 1, 17, 19, 323

271 : 1, 271

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,323,271,852,130, is 1.

Now, the common factors can be found like this.

998:2x 499

323:17x 19

271:271

852:2x 2x 3x 71

130:2x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9675764769840/(1x4)

LCM = 9675764769840/4

LCM = 2418941192460

Thus, we can understand that the LCM of 998,323,271,852,130 is 2418941192460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 323, 271, 852, 130

1. What is the LCM of 998, 323, 271, 852, 130?

Answer: LCM of 998, 323, 271, 852, 130 is 2418941192460.

2. How to calculate the LCM of 998, 323, 271, 852, 130?

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, 323, 271, 852, 130.

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}.