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LCM of 797, 861, 229, 898, 449

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


Find the LCM of 797, 861, 229, 898, 449 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 797, 861, 229, 898, 449. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,861,229,898,449

Given numbers are 797,861,229,898,449

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

The LCM of 797,861,229,898,449 is 141115036314.

Find LCM of 797,861,229,898,449 with Prime Factorization


449 797, 861, 229, 898, 449
797, 861, 229, 2, 1

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

449 x 797 x 861 x 229 x 2 x 1 = 141115036314

Therefore, the lowest common multiple of 797,861,229,898,449 is 141115036314.

LCM Formula to Find Lowest Common Multiple of 797,861,229,898,449

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.

797 x 861 x 229 x 898 x 449 = 63360651304986

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.

797 : 1, 797

861 : 1, 3, 7, 21, 41, 123, 287, 861

229 : 1, 229

898 : 1, 2, 449, 898

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,861,229,898,449, is 1.

Now, the common factors can be found like this.

797:797

861:3x 7x 41

229:229

898:2x 449

449:449

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

449 = 449

Therefore, the value for common factors is 449.

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 = 63360651304986/(1x449)

LCM = 63360651304986/449

LCM = 141115036314

Thus, we can understand that the LCM of 797,861,229,898,449 is 141115036314.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 861, 229, 898, 449

1. What is the LCM of 797, 861, 229, 898, 449?

Answer: LCM of 797, 861, 229, 898, 449 is 141115036314.

2. How to calculate the LCM of 797, 861, 229, 898, 449?

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 797, 861, 229, 898, 449.

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}.