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LCM of 512, 360, 614, 812

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


Find the LCM of 512, 360, 614, 812 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, 360, 614, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,360,614,812

Given numbers are 512,360,614,812

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

The LCM of 512,360,614,812 is 1435875840.

Find LCM of 512,360,614,812 with Prime Factorization


2 512, 360, 614, 812
2 256, 180, 307, 406
2 128, 90, 307, 203
64, 45, 307, 203

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

2 x 2 x 2 x 64 x 45 x 307 x 203 = 1435875840

Therefore, the lowest common multiple of 512,360,614,812 is 1435875840.

LCM Formula to Find Lowest Common Multiple of 512,360,614,812

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 360 x 614 x 812 = 91896053760

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

614 : 1, 2, 307, 614

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,360,614,812, is 2.

Now, the common factors can be found like this.

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

360:2x 2x 2x 3x 3x 5

614:2x 307

812:2x 2x 7x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 91896053760/(2x32)

LCM = 91896053760/64

LCM = 1435875840

Thus, we can understand that the LCM of 512,360,614,812 is 1435875840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 360, 614, 812

1. What is the LCM of 512, 360, 614, 812?

Answer: LCM of 512, 360, 614, 812 is 1435875840.

2. How to calculate the LCM of 512, 360, 614, 812?

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, 360, 614, 812.

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}.