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LCM of 920, 563, 823, 422, 343

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


Find the LCM of 920, 563, 823, 422, 343 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 920, 563, 823, 422, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,563,823,422,343

Given numbers are 920,563,823,422,343

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

The LCM of 920,563,823,422,343 is 30851240602840.

Find LCM of 920,563,823,422,343 with Prime Factorization


2 920, 563, 823, 422, 343
460, 563, 823, 211, 343

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

2 x 460 x 563 x 823 x 211 x 343 = 30851240602840

Therefore, the lowest common multiple of 920,563,823,422,343 is 30851240602840.

LCM Formula to Find Lowest Common Multiple of 920,563,823,422,343

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.

920 x 563 x 823 x 422 x 343 = 61702481205680

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

563 : 1, 563

823 : 1, 823

422 : 1, 2, 211, 422

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,563,823,422,343, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

563:563

823:823

422:2x 211

343:7x 7x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61702481205680/(1x2)

LCM = 61702481205680/2

LCM = 30851240602840

Thus, we can understand that the LCM of 920,563,823,422,343 is 30851240602840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 563, 823, 422, 343

1. What is the LCM of 920, 563, 823, 422, 343?

Answer: LCM of 920, 563, 823, 422, 343 is 30851240602840.

2. How to calculate the LCM of 920, 563, 823, 422, 343?

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 920, 563, 823, 422, 343.

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}.