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LCM of 396, 458, 976, 320

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


Find the LCM of 396, 458, 976, 320 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 396, 458, 976, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,458,976,320

Given numbers are 396,458,976,320

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

The LCM of 396,458,976,320 is 442537920.

Find LCM of 396,458,976,320 with Prime Factorization


2 396, 458, 976, 320
2 198, 229, 488, 160
2 99, 229, 244, 80
2 99, 229, 122, 40
99, 229, 61, 20

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

2 x 2 x 2 x 2 x 99 x 229 x 61 x 20 = 442537920

Therefore, the lowest common multiple of 396,458,976,320 is 442537920.

LCM Formula to Find Lowest Common Multiple of 396,458,976,320

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.

396 x 458 x 976 x 320 = 56644853760

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

458 : 1, 2, 229, 458

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,458,976,320, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

458:2x 229

976:2x 2x 2x 2x 61

320:2x 2x 2x 2x 2x 2x 5

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 56644853760/(2x64)

LCM = 56644853760/128

LCM = 442537920

Thus, we can understand that the LCM of 396,458,976,320 is 442537920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 458, 976, 320

1. What is the LCM of 396, 458, 976, 320?

Answer: LCM of 396, 458, 976, 320 is 442537920.

2. How to calculate the LCM of 396, 458, 976, 320?

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 396, 458, 976, 320.

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}.