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LCM of 684, 228, 309, 432

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


Find the LCM of 684, 228, 309, 432 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 684, 228, 309, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,228,309,432

Given numbers are 684,228,309,432

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

The LCM of 684,228,309,432 is 845424.

Find LCM of 684,228,309,432 with Prime Factorization


2 684, 228, 309, 432
2 342, 114, 309, 216
3 171, 57, 309, 108
3 19, 57, 103, 36
19 19, 19, 103, 12
1, 1, 103, 12

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

2 x 2 x 3 x 3 x 19 x 1 x 1 x 103 x 12 = 845424

Therefore, the lowest common multiple of 684,228,309,432 is 845424.

LCM Formula to Find Lowest Common Multiple of 684,228,309,432

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.

684 x 228 x 309 x 432 = 20817720576

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

309 : 1, 3, 103, 309

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,228,309,432, is 3.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

228:2x 2x 3x 19

309:3x 103

432:2x 2x 2x 2x 3x 3x 3

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 2x 3x 3x 3x 19 = 8208

Therefore, the value for common factors is 8208.

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 = 20817720576/(3x8208)

LCM = 20817720576/24624

LCM = 845424

Thus, we can understand that the LCM of 684,228,309,432 is 845424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 228, 309, 432

1. What is the LCM of 684, 228, 309, 432?

Answer: LCM of 684, 228, 309, 432 is 845424.

2. How to calculate the LCM of 684, 228, 309, 432?

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 684, 228, 309, 432.

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}.