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LCM of 821, 228, 466, 399

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


Find the LCM of 821, 228, 466, 399 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 821, 228, 466, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,228,466,399

Given numbers are 821,228,466,399

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

The LCM of 821,228,466,399 is 305303628.

Find LCM of 821,228,466,399 with Prime Factorization


2 821, 228, 466, 399
3 821, 114, 233, 399
19 821, 38, 233, 133
821, 2, 233, 7

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

2 x 3 x 19 x 821 x 2 x 233 x 7 = 305303628

Therefore, the lowest common multiple of 821,228,466,399 is 305303628.

LCM Formula to Find Lowest Common Multiple of 821,228,466,399

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.

821 x 228 x 466 x 399 = 34804613592

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.

821 : 1, 821

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

466 : 1, 2, 233, 466

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,228,466,399, is 1.

Now, the common factors can be found like this.

821:821

228:2x 2x 3x 19

466:2x 233

399:3x 7x 19

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 34804613592/(1x114)

LCM = 34804613592/114

LCM = 305303628

Thus, we can understand that the LCM of 821,228,466,399 is 305303628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 228, 466, 399

1. What is the LCM of 821, 228, 466, 399?

Answer: LCM of 821, 228, 466, 399 is 305303628.

2. How to calculate the LCM of 821, 228, 466, 399?

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 821, 228, 466, 399.

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}.