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LCM of 408, 687, 255, 690

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


Find the LCM of 408, 687, 255, 690 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 408, 687, 255, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,687,255,690

Given numbers are 408,687,255,690

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

The LCM of 408,687,255,690 is 10744680.

Find LCM of 408,687,255,690 with Prime Factorization


2 408, 687, 255, 690
3 204, 687, 255, 345
5 68, 229, 85, 115
17 68, 229, 17, 23
4, 229, 1, 23

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

2 x 3 x 5 x 17 x 4 x 229 x 1 x 23 = 10744680

Therefore, the lowest common multiple of 408,687,255,690 is 10744680.

LCM Formula to Find Lowest Common Multiple of 408,687,255,690

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.

408 x 687 x 255 x 690 = 49318081200

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

687 : 1, 3, 229, 687

255 : 1, 3, 5, 15, 17, 51, 85, 255

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,687,255,690, is 3.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

687:3x 229

255:3x 5x 17

690:2x 3x 5x 23

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 3x 5x 17 = 1530

Therefore, the value for common factors is 1530.

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 = 49318081200/(3x1530)

LCM = 49318081200/4590

LCM = 10744680

Thus, we can understand that the LCM of 408,687,255,690 is 10744680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 687, 255, 690

1. What is the LCM of 408, 687, 255, 690?

Answer: LCM of 408, 687, 255, 690 is 10744680.

2. How to calculate the LCM of 408, 687, 255, 690?

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 408, 687, 255, 690.

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}.