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LCM of 459, 221, 396, 612, 834

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


Find the LCM of 459, 221, 396, 612, 834 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 459, 221, 396, 612, 834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,221,396,612,834

Given numbers are 459,221,396,612,834

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

The LCM of 459,221,396,612,834 is 36494172.

Find LCM of 459,221,396,612,834 with Prime Factorization


2 459, 221, 396, 612, 834
2 459, 221, 198, 306, 417
3 459, 221, 99, 153, 417
3 51, 221, 33, 153, 139
17 17, 221, 11, 51, 139
1, 13, 11, 3, 139

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

2 x 2 x 3 x 3 x 17 x 1 x 13 x 11 x 3 x 139 = 36494172

Therefore, the lowest common multiple of 459,221,396,612,834 is 36494172.

LCM Formula to Find Lowest Common Multiple of 459,221,396,612,834

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.

459 x 221 x 396 x 612 x 834 = 20503009736352

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

221 : 1, 13, 17, 221

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,221,396,612,834, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

221:13x 17

396:2x 2x 3x 3x 11

612:2x 2x 3x 3x 17

834:2x 3x 139

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

2x 2x 2x 3x 3x 3x 3x 3x 17x 17 = 561816

Therefore, the value for common factors is 561816.

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 = 20503009736352/(1x561816)

LCM = 20503009736352/561816

LCM = 36494172

Thus, we can understand that the LCM of 459,221,396,612,834 is 36494172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 221, 396, 612, 834

1. What is the LCM of 459, 221, 396, 612, 834?

Answer: LCM of 459, 221, 396, 612, 834 is 36494172.

2. How to calculate the LCM of 459, 221, 396, 612, 834?

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 459, 221, 396, 612, 834.

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}.