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LCM of 523, 297, 971, 806, 226

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


Find the LCM of 523, 297, 971, 806, 226 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 523, 297, 971, 806, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,297,971,806,226

Given numbers are 523,297,971,806,226

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

The LCM of 523,297,971,806,226 is 13736966950278.

Find LCM of 523,297,971,806,226 with Prime Factorization


2 523, 297, 971, 806, 226
523, 297, 971, 403, 113

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

2 x 523 x 297 x 971 x 403 x 113 = 13736966950278

Therefore, the lowest common multiple of 523,297,971,806,226 is 13736966950278.

LCM Formula to Find Lowest Common Multiple of 523,297,971,806,226

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.

523 x 297 x 971 x 806 x 226 = 27473933900556

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.

523 : 1, 523

297 : 1, 3, 9, 11, 27, 33, 99, 297

971 : 1, 971

806 : 1, 2, 13, 26, 31, 62, 403, 806

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,297,971,806,226, is 1.

Now, the common factors can be found like this.

523:523

297:3x 3x 3x 11

971:971

806:2x 13x 31

226:2x 113

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 = 27473933900556/(1x2)

LCM = 27473933900556/2

LCM = 13736966950278

Thus, we can understand that the LCM of 523,297,971,806,226 is 13736966950278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 297, 971, 806, 226

1. What is the LCM of 523, 297, 971, 806, 226?

Answer: LCM of 523, 297, 971, 806, 226 is 13736966950278.

2. How to calculate the LCM of 523, 297, 971, 806, 226?

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 523, 297, 971, 806, 226.

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}.