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LCM of 488, 493, 988, 323

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


Find the LCM of 488, 493, 988, 323 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 488, 493, 988, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,493,988,323

Given numbers are 488,493,988,323

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

The LCM of 488,493,988,323 is 59424248.

Find LCM of 488,493,988,323 with Prime Factorization


2 488, 493, 988, 323
2 244, 493, 494, 323
17 122, 493, 247, 323
19 122, 29, 247, 19
122, 29, 13, 1

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

2 x 2 x 17 x 19 x 122 x 29 x 13 x 1 = 59424248

Therefore, the lowest common multiple of 488,493,988,323 is 59424248.

LCM Formula to Find Lowest Common Multiple of 488,493,988,323

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.

488 x 493 x 988 x 323 = 76776128416

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

493 : 1, 17, 29, 493

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,493,988,323, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

493:17x 29

988:2x 2x 13x 19

323:17x 19

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 17x 19 = 1292

Therefore, the value for common factors is 1292.

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 = 76776128416/(1x1292)

LCM = 76776128416/1292

LCM = 59424248

Thus, we can understand that the LCM of 488,493,988,323 is 59424248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 493, 988, 323

1. What is the LCM of 488, 493, 988, 323?

Answer: LCM of 488, 493, 988, 323 is 59424248.

2. How to calculate the LCM of 488, 493, 988, 323?

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 488, 493, 988, 323.

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}.