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LCM of 488, 265, 904, 983

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


Find the LCM of 488, 265, 904, 983 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, 265, 904, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,265,904,983

Given numbers are 488,265,904,983

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

The LCM of 488,265,904,983 is 14364736280.

Find LCM of 488,265,904,983 with Prime Factorization


2 488, 265, 904, 983
2 244, 265, 452, 983
2 122, 265, 226, 983
61, 265, 113, 983

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

2 x 2 x 2 x 61 x 265 x 113 x 983 = 14364736280

Therefore, the lowest common multiple of 488,265,904,983 is 14364736280.

LCM Formula to Find Lowest Common Multiple of 488,265,904,983

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 265 x 904 x 983 = 114917890240

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

265 : 1, 5, 53, 265

904 : 1, 2, 4, 8, 113, 226, 452, 904

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,265,904,983, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

265:5x 53

904:2x 2x 2x 113

983:983

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 = 114917890240/(1x8)

LCM = 114917890240/8

LCM = 14364736280

Thus, we can understand that the LCM of 488,265,904,983 is 14364736280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 265, 904, 983

1. What is the LCM of 488, 265, 904, 983?

Answer: LCM of 488, 265, 904, 983 is 14364736280.

2. How to calculate the LCM of 488, 265, 904, 983?

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, 265, 904, 983.

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}.