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LCM of 346, 173, 190

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


Find the LCM of 346, 173, 190 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 346, 173, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,173,190

Given numbers are 346,173,190

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

The LCM of 346,173,190 is 32870.

Find LCM of 346,173,190 with Prime Factorization


2 346, 173, 190
173 173, 173, 95
1, 1, 95

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

2 x 173 x 1 x 1 x 95 = 32870

Therefore, the lowest common multiple of 346,173,190 is 32870.

LCM Formula to Find Lowest Common Multiple of 346,173,190

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.

346 x 173 x 190 = 11373020

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.

346 : 1, 2, 173, 346

173 : 1, 173

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,173,190, is 1.

Now, the common factors can be found like this.

346:2x 173

173:173

190:2x 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 173 = 346

Therefore, the value for common factors is 346.

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 = 11373020/(1x346)

LCM = 11373020/346

LCM = 32870

Thus, we can understand that the LCM of 346,173,190 is 32870.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 346, 173, 190

1. What is the LCM of 346, 173, 190?

Answer: LCM of 346, 173, 190 is 32870.

2. How to calculate the LCM of 346, 173, 190?

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 346, 173, 190.

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}.