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LCM of 685, 336, 413, 345

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


Find the LCM of 685, 336, 413, 345 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 685, 336, 413, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,336,413,345

Given numbers are 685,336,413,345

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

The LCM of 685,336,413,345 is 312327120.

Find LCM of 685,336,413,345 with Prime Factorization


3 685, 336, 413, 345
5 685, 112, 413, 115
7 137, 112, 413, 23
137, 16, 59, 23

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

3 x 5 x 7 x 137 x 16 x 59 x 23 = 312327120

Therefore, the lowest common multiple of 685,336,413,345 is 312327120.

LCM Formula to Find Lowest Common Multiple of 685,336,413,345

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.

685 x 336 x 413 x 345 = 32794347600

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.

685 : 1, 5, 137, 685

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

413 : 1, 7, 59, 413

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,336,413,345, is 1.

Now, the common factors can be found like this.

685:5x 137

336:2x 2x 2x 2x 3x 7

413:7x 59

345:3x 5x 23

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

3x 5x 7 = 105

Therefore, the value for common factors is 105.

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 = 32794347600/(1x105)

LCM = 32794347600/105

LCM = 312327120

Thus, we can understand that the LCM of 685,336,413,345 is 312327120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 336, 413, 345

1. What is the LCM of 685, 336, 413, 345?

Answer: LCM of 685, 336, 413, 345 is 312327120.

2. How to calculate the LCM of 685, 336, 413, 345?

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 685, 336, 413, 345.

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}.