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LCM of 422, 908, 706, 208, 594

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


Find the LCM of 422, 908, 706, 208, 594 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 422, 908, 706, 208, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,908,706,208,594

Given numbers are 422,908,706,208,594

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

The LCM of 422,908,706,208,594 is 1044486430416.

Find LCM of 422,908,706,208,594 with Prime Factorization


2 422, 908, 706, 208, 594
2 211, 454, 353, 104, 297
211, 227, 353, 52, 297

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

2 x 2 x 211 x 227 x 353 x 52 x 297 = 1044486430416

Therefore, the lowest common multiple of 422,908,706,208,594 is 1044486430416.

LCM Formula to Find Lowest Common Multiple of 422,908,706,208,594

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.

422 x 908 x 706 x 208 x 594 = 33423565773312

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.

422 : 1, 2, 211, 422

908 : 1, 2, 4, 227, 454, 908

706 : 1, 2, 353, 706

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,908,706,208,594, is 2.

Now, the common factors can be found like this.

422:2x 211

908:2x 2x 227

706:2x 353

208:2x 2x 2x 2x 13

594:2x 3x 3x 3x 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 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 = 33423565773312/(2x16)

LCM = 33423565773312/32

LCM = 1044486430416

Thus, we can understand that the LCM of 422,908,706,208,594 is 1044486430416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 908, 706, 208, 594

1. What is the LCM of 422, 908, 706, 208, 594?

Answer: LCM of 422, 908, 706, 208, 594 is 1044486430416.

2. How to calculate the LCM of 422, 908, 706, 208, 594?

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 422, 908, 706, 208, 594.

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}.