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LCM of 492, 434, 204, 120, 687

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


Find the LCM of 492, 434, 204, 120, 687 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 492, 434, 204, 120, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,434,204,120,687

Given numbers are 492,434,204,120,687

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

The LCM of 492,434,204,120,687 is 4156322520.

Find LCM of 492,434,204,120,687 with Prime Factorization


2 492, 434, 204, 120, 687
2 246, 217, 102, 60, 687
3 123, 217, 51, 30, 687
41, 217, 17, 10, 229

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

2 x 2 x 3 x 41 x 217 x 17 x 10 x 229 = 4156322520

Therefore, the lowest common multiple of 492,434,204,120,687 is 4156322520.

LCM Formula to Find Lowest Common Multiple of 492,434,204,120,687

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.

492 x 434 x 204 x 120 x 687 = 3591062657280

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

434 : 1, 2, 7, 14, 31, 62, 217, 434

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,434,204,120,687, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

434:2x 7x 31

204:2x 2x 3x 17

120:2x 2x 2x 3x 5

687:3x 229

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 3591062657280/(1x864)

LCM = 3591062657280/864

LCM = 4156322520

Thus, we can understand that the LCM of 492,434,204,120,687 is 4156322520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 434, 204, 120, 687

1. What is the LCM of 492, 434, 204, 120, 687?

Answer: LCM of 492, 434, 204, 120, 687 is 4156322520.

2. How to calculate the LCM of 492, 434, 204, 120, 687?

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 492, 434, 204, 120, 687.

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}.