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LCM of 679, 512, 422, 669, 722

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


Find the LCM of 679, 512, 422, 669, 722 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 679, 512, 422, 669, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,512,422,669,722

Given numbers are 679,512,422,669,722

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

The LCM of 679,512,422,669,722 is 17715585495552.

Find LCM of 679,512,422,669,722 with Prime Factorization


2 679, 512, 422, 669, 722
679, 256, 211, 669, 361

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

2 x 679 x 256 x 211 x 669 x 361 = 17715585495552

Therefore, the lowest common multiple of 679,512,422,669,722 is 17715585495552.

LCM Formula to Find Lowest Common Multiple of 679,512,422,669,722

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.

679 x 512 x 422 x 669 x 722 = 70862341982208

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.

679 : 1, 7, 97, 679

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

422 : 1, 2, 211, 422

669 : 1, 3, 223, 669

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,512,422,669,722, is 1.

Now, the common factors can be found like this.

679:7x 97

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

422:2x 211

669:3x 223

722:2x 19x 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 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 = 70862341982208/(1x4)

LCM = 70862341982208/4

LCM = 17715585495552

Thus, we can understand that the LCM of 679,512,422,669,722 is 17715585495552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 512, 422, 669, 722

1. What is the LCM of 679, 512, 422, 669, 722?

Answer: LCM of 679, 512, 422, 669, 722 is 17715585495552.

2. How to calculate the LCM of 679, 512, 422, 669, 722?

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 679, 512, 422, 669, 722.

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}.