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LCM of 561, 823, 803, 422, 971

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


Find the LCM of 561, 823, 803, 422, 971 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 561, 823, 803, 422, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,823,803,422,971

Given numbers are 561,823,803,422,971

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

The LCM of 561,823,803,422,971 is 13810749162078.

Find LCM of 561,823,803,422,971 with Prime Factorization


11 561, 823, 803, 422, 971
51, 823, 73, 422, 971

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

11 x 51 x 823 x 73 x 422 x 971 = 13810749162078

Therefore, the lowest common multiple of 561,823,803,422,971 is 13810749162078.

LCM Formula to Find Lowest Common Multiple of 561,823,803,422,971

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.

561 x 823 x 803 x 422 x 971 = 151918240782858

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

823 : 1, 823

803 : 1, 11, 73, 803

422 : 1, 2, 211, 422

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,823,803,422,971, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

823:823

803:11x 73

422:2x 211

971:971

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

11 = 11

Therefore, the value for common factors is 11.

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 = 151918240782858/(1x11)

LCM = 151918240782858/11

LCM = 13810749162078

Thus, we can understand that the LCM of 561,823,803,422,971 is 13810749162078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 823, 803, 422, 971

1. What is the LCM of 561, 823, 803, 422, 971?

Answer: LCM of 561, 823, 803, 422, 971 is 13810749162078.

2. How to calculate the LCM of 561, 823, 803, 422, 971?

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 561, 823, 803, 422, 971.

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}.