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LCM of 458, 410, 494, 541, 256

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


Find the LCM of 458, 410, 494, 541, 256 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 458, 410, 494, 541, 256. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,410,494,541,256

Given numbers are 458,410,494,541,256

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

The LCM of 458,410,494,541,256 is 1605918595840.

Find LCM of 458,410,494,541,256 with Prime Factorization


2 458, 410, 494, 541, 256
229, 205, 247, 541, 128

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

2 x 229 x 205 x 247 x 541 x 128 = 1605918595840

Therefore, the lowest common multiple of 458,410,494,541,256 is 1605918595840.

LCM Formula to Find Lowest Common Multiple of 458,410,494,541,256

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.

458 x 410 x 494 x 541 x 256 = 12847348766720

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.

458 : 1, 2, 229, 458

410 : 1, 2, 5, 10, 41, 82, 205, 410

494 : 1, 2, 13, 19, 26, 38, 247, 494

541 : 1, 541

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,410,494,541,256, is 1.

Now, the common factors can be found like this.

458:2x 229

410:2x 5x 41

494:2x 13x 19

541:541

256:2x 2x 2x 2x 2x 2x 2x 2

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 = 12847348766720/(1x8)

LCM = 12847348766720/8

LCM = 1605918595840

Thus, we can understand that the LCM of 458,410,494,541,256 is 1605918595840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 410, 494, 541, 256

1. What is the LCM of 458, 410, 494, 541, 256?

Answer: LCM of 458, 410, 494, 541, 256 is 1605918595840.

2. How to calculate the LCM of 458, 410, 494, 541, 256?

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 458, 410, 494, 541, 256.

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}.