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LCM of 512, 276, 482, 184, 803

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


Find the LCM of 512, 276, 482, 184, 803 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 512, 276, 482, 184, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,276,482,184,803

Given numbers are 512,276,482,184,803

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

The LCM of 512,276,482,184,803 is 6836780544.

Find LCM of 512,276,482,184,803 with Prime Factorization


2 512, 276, 482, 184, 803
2 256, 138, 241, 92, 803
2 128, 69, 241, 46, 803
23 64, 69, 241, 23, 803
64, 3, 241, 1, 803

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

2 x 2 x 2 x 23 x 64 x 3 x 241 x 1 x 803 = 6836780544

Therefore, the lowest common multiple of 512,276,482,184,803 is 6836780544.

LCM Formula to Find Lowest Common Multiple of 512,276,482,184,803

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.

512 x 276 x 482 x 184 x 803 = 10063740960768

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.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

482 : 1, 2, 241, 482

184 : 1, 2, 4, 8, 23, 46, 92, 184

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,276,482,184,803, is 1.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

276:2x 2x 3x 23

482:2x 241

184:2x 2x 2x 23

803:11x 73

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 2x 23 = 1472

Therefore, the value for common factors is 1472.

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 = 10063740960768/(1x1472)

LCM = 10063740960768/1472

LCM = 6836780544

Thus, we can understand that the LCM of 512,276,482,184,803 is 6836780544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 276, 482, 184, 803

1. What is the LCM of 512, 276, 482, 184, 803?

Answer: LCM of 512, 276, 482, 184, 803 is 6836780544.

2. How to calculate the LCM of 512, 276, 482, 184, 803?

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 512, 276, 482, 184, 803.

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}.