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LCM of 469, 121, 772, 579, 811

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


Find the LCM of 469, 121, 772, 579, 811 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 469, 121, 772, 579, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,121,772,579,811

Given numbers are 469,121,772,579,811

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

The LCM of 469,121,772,579,811 is 106590284724.

Find LCM of 469,121,772,579,811 with Prime Factorization


193 469, 121, 772, 579, 811
469, 121, 4, 3, 811

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

193 x 469 x 121 x 4 x 3 x 811 = 106590284724

Therefore, the lowest common multiple of 469,121,772,579,811 is 106590284724.

LCM Formula to Find Lowest Common Multiple of 469,121,772,579,811

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.

469 x 121 x 772 x 579 x 811 = 20571924951732

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.

469 : 1, 7, 67, 469

121 : 1, 11, 121

772 : 1, 2, 4, 193, 386, 772

579 : 1, 3, 193, 579

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,121,772,579,811, is 1.

Now, the common factors can be found like this.

469:7x 67

121:11x 11

772:2x 2x 193

579:3x 193

811:811

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

193 = 193

Therefore, the value for common factors is 193.

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 = 20571924951732/(1x193)

LCM = 20571924951732/193

LCM = 106590284724

Thus, we can understand that the LCM of 469,121,772,579,811 is 106590284724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 121, 772, 579, 811

1. What is the LCM of 469, 121, 772, 579, 811?

Answer: LCM of 469, 121, 772, 579, 811 is 106590284724.

2. How to calculate the LCM of 469, 121, 772, 579, 811?

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 469, 121, 772, 579, 811.

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}.