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LCM of 422, 138, 648, 593, 569

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


Find the LCM of 422, 138, 648, 593, 569 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, 138, 648, 593, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,138,648,593,569

Given numbers are 422,138,648,593,569

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

The LCM of 422,138,648,593,569 is 1061090086248.

Find LCM of 422,138,648,593,569 with Prime Factorization


2 422, 138, 648, 593, 569
3 211, 69, 324, 593, 569
211, 23, 108, 593, 569

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

2 x 3 x 211 x 23 x 108 x 593 x 569 = 1061090086248

Therefore, the lowest common multiple of 422,138,648,593,569 is 1061090086248.

LCM Formula to Find Lowest Common Multiple of 422,138,648,593,569

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 138 x 648 x 593 x 569 = 12733081034976

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

593 : 1, 593

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,138,648,593,569, is 1.

Now, the common factors can be found like this.

422:2x 211

138:2x 3x 23

648:2x 2x 2x 3x 3x 3x 3

593:593

569:569

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12733081034976/(1x12)

LCM = 12733081034976/12

LCM = 1061090086248

Thus, we can understand that the LCM of 422,138,648,593,569 is 1061090086248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 138, 648, 593, 569

1. What is the LCM of 422, 138, 648, 593, 569?

Answer: LCM of 422, 138, 648, 593, 569 is 1061090086248.

2. How to calculate the LCM of 422, 138, 648, 593, 569?

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, 138, 648, 593, 569.

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}.