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LCM of 344, 285, 342, 386

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


Find the LCM of 344, 285, 342, 386 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 344, 285, 342, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,285,342,386

Given numbers are 344,285,342,386

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

The LCM of 344,285,342,386 is 56765160.

Find LCM of 344,285,342,386 with Prime Factorization


2 344, 285, 342, 386
3 172, 285, 171, 193
19 172, 95, 57, 193
172, 5, 3, 193

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

2 x 3 x 19 x 172 x 5 x 3 x 193 = 56765160

Therefore, the lowest common multiple of 344,285,342,386 is 56765160.

LCM Formula to Find Lowest Common Multiple of 344,285,342,386

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.

344 x 285 x 342 x 386 = 12942456480

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

285 : 1, 3, 5, 15, 19, 57, 95, 285

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

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,285,342,386, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

285:3x 5x 19

342:2x 3x 3x 19

386:2x 193

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 12942456480/(1x228)

LCM = 12942456480/228

LCM = 56765160

Thus, we can understand that the LCM of 344,285,342,386 is 56765160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 285, 342, 386

1. What is the LCM of 344, 285, 342, 386?

Answer: LCM of 344, 285, 342, 386 is 56765160.

2. How to calculate the LCM of 344, 285, 342, 386?

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 344, 285, 342, 386.

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}.