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LCM of 629, 488, 284, 554

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


Find the LCM of 629, 488, 284, 554 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 629, 488, 284, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,488,284,554

Given numbers are 629,488,284,554

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

The LCM of 629,488,284,554 is 6036824984.

Find LCM of 629,488,284,554 with Prime Factorization


2 629, 488, 284, 554
2 629, 244, 142, 277
629, 122, 71, 277

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

2 x 2 x 629 x 122 x 71 x 277 = 6036824984

Therefore, the lowest common multiple of 629,488,284,554 is 6036824984.

LCM Formula to Find Lowest Common Multiple of 629,488,284,554

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.

629 x 488 x 284 x 554 = 48294599872

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.

629 : 1, 17, 37, 629

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

284 : 1, 2, 4, 71, 142, 284

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,488,284,554, is 1.

Now, the common factors can be found like this.

629:17x 37

488:2x 2x 2x 61

284:2x 2x 71

554:2x 277

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 2 = 8

Therefore, the value for common factors is 8.

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 = 48294599872/(1x8)

LCM = 48294599872/8

LCM = 6036824984

Thus, we can understand that the LCM of 629,488,284,554 is 6036824984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 488, 284, 554

1. What is the LCM of 629, 488, 284, 554?

Answer: LCM of 629, 488, 284, 554 is 6036824984.

2. How to calculate the LCM of 629, 488, 284, 554?

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 629, 488, 284, 554.

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}.