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LCM of 512, 436, 556, 665

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


Find the LCM of 512, 436, 556, 665 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, 436, 556, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,436,556,665

Given numbers are 512,436,556,665

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

The LCM of 512,436,556,665 is 5158612480.

Find LCM of 512,436,556,665 with Prime Factorization


2 512, 436, 556, 665
2 256, 218, 278, 665
128, 109, 139, 665

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

2 x 2 x 128 x 109 x 139 x 665 = 5158612480

Therefore, the lowest common multiple of 512,436,556,665 is 5158612480.

LCM Formula to Find Lowest Common Multiple of 512,436,556,665

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 436 x 556 x 665 = 82537799680

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

436 : 1, 2, 4, 109, 218, 436

556 : 1, 2, 4, 139, 278, 556

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,436,556,665, is 1.

Now, the common factors can be found like this.

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

436:2x 2x 109

556:2x 2x 139

665:5x 7x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 82537799680/(1x16)

LCM = 82537799680/16

LCM = 5158612480

Thus, we can understand that the LCM of 512,436,556,665 is 5158612480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 436, 556, 665

1. What is the LCM of 512, 436, 556, 665?

Answer: LCM of 512, 436, 556, 665 is 5158612480.

2. How to calculate the LCM of 512, 436, 556, 665?

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, 436, 556, 665.

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}.