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LCM of 565, 298, 379, 512, 462

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


Find the LCM of 565, 298, 379, 512, 462 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 565, 298, 379, 512, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,298,379,512,462

Given numbers are 565,298,379,512,462

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

The LCM of 565,298,379,512,462 is 3773600033280.

Find LCM of 565,298,379,512,462 with Prime Factorization


2 565, 298, 379, 512, 462
565, 149, 379, 256, 231

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

2 x 565 x 149 x 379 x 256 x 231 = 3773600033280

Therefore, the lowest common multiple of 565,298,379,512,462 is 3773600033280.

LCM Formula to Find Lowest Common Multiple of 565,298,379,512,462

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.

565 x 298 x 379 x 512 x 462 = 15094400133120

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.

565 : 1, 5, 113, 565

298 : 1, 2, 149, 298

379 : 1, 379

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,298,379,512,462, is 1.

Now, the common factors can be found like this.

565:5x 113

298:2x 149

379:379

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

462:2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15094400133120/(1x4)

LCM = 15094400133120/4

LCM = 3773600033280

Thus, we can understand that the LCM of 565,298,379,512,462 is 3773600033280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 298, 379, 512, 462

1. What is the LCM of 565, 298, 379, 512, 462?

Answer: LCM of 565, 298, 379, 512, 462 is 3773600033280.

2. How to calculate the LCM of 565, 298, 379, 512, 462?

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 565, 298, 379, 512, 462.

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}.