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LCM of 342, 90, 193, 855

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


Find the LCM of 342, 90, 193, 855 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 342, 90, 193, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,90,193,855

Given numbers are 342,90,193,855

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

The LCM of 342,90,193,855 is 330030.

Find LCM of 342,90,193,855 with Prime Factorization


2 342, 90, 193, 855
3 171, 45, 193, 855
3 57, 15, 193, 285
5 19, 5, 193, 95
19 19, 1, 193, 19
1, 1, 193, 1

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

2 x 3 x 3 x 5 x 19 x 1 x 1 x 193 x 1 = 330030

Therefore, the lowest common multiple of 342,90,193,855 is 330030.

LCM Formula to Find Lowest Common Multiple of 342,90,193,855

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.

342 x 90 x 193 x 855 = 5079161700

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

193 : 1, 193

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,90,193,855, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

90:2x 3x 3x 5

193:193

855:3x 3x 5x 19

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 3x 3x 5x 19 = 15390

Therefore, the value for common factors is 15390.

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 = 5079161700/(1x15390)

LCM = 5079161700/15390

LCM = 330030

Thus, we can understand that the LCM of 342,90,193,855 is 330030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 90, 193, 855

1. What is the LCM of 342, 90, 193, 855?

Answer: LCM of 342, 90, 193, 855 is 330030.

2. How to calculate the LCM of 342, 90, 193, 855?

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 342, 90, 193, 855.

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}.