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LCM of 5, 155, 155, 205

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


Find the LCM of 5, 155, 155, 205 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 5, 155, 155, 205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5,155,155,205

Given numbers are 5,155,155,205

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

The LCM of 5,155,155,205 is 6355.

Find LCM of 5,155,155,205 with Prime Factorization


5 5, 155, 155, 205
31 1, 31, 31, 41
1, 1, 1, 41

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

5 x 31 x 1 x 1 x 1 x 41 = 6355

Therefore, the lowest common multiple of 5,155,155,205 is 6355.

LCM Formula to Find Lowest Common Multiple of 5,155,155,205

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.

5 x 155 x 155 x 205 = 24625625

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.

5 : 1, 5

155 : 1, 5, 31, 155

155 : 1, 5, 31, 155

205 : 1, 5, 41, 205

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,155,155,205, is 5.

Now, the common factors can be found like this.

5:5

155:5x 31

155:5x 31

205:5x 41

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

5x 5x 31 = 775

Therefore, the value for common factors is 775.

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 = 24625625/(5x775)

LCM = 24625625/3875

LCM = 6355

Thus, we can understand that the LCM of 5,155,155,205 is 6355.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 5, 155, 155, 205

1. What is the LCM of 5, 155, 155, 205?

Answer: LCM of 5, 155, 155, 205 is 6355.

2. How to calculate the LCM of 5, 155, 155, 205?

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 5, 155, 155, 205.

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}.