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LCM of 346, 138, 194, 194, 359

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


Find the LCM of 346, 138, 194, 194, 359 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, 138, 194, 194, 359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,138,194,194,359

Given numbers are 346,138,194,194,359

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

The LCM of 346,138,194,194,359 is 831364302.

Find LCM of 346,138,194,194,359 with Prime Factorization


2 346, 138, 194, 194, 359
97 173, 69, 97, 97, 359
173, 69, 1, 1, 359

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

2 x 97 x 173 x 69 x 1 x 1 x 359 = 831364302

Therefore, the lowest common multiple of 346,138,194,194,359 is 831364302.

LCM Formula to Find Lowest Common Multiple of 346,138,194,194,359

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 138 x 194 x 194 x 359 = 645138698352

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

194 : 1, 2, 97, 194

194 : 1, 2, 97, 194

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,138,194,194,359, is 1.

Now, the common factors can be found like this.

346:2x 173

138:2x 3x 23

194:2x 97

194:2x 97

359:359

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 97 = 776

Therefore, the value for common factors is 776.

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 = 645138698352/(1x776)

LCM = 645138698352/776

LCM = 831364302

Thus, we can understand that the LCM of 346,138,194,194,359 is 831364302.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 138, 194, 194, 359

1. What is the LCM of 346, 138, 194, 194, 359?

Answer: LCM of 346, 138, 194, 194, 359 is 831364302.

2. How to calculate the LCM of 346, 138, 194, 194, 359?

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, 138, 194, 194, 359.

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}.