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LCM of 311, 564, 165, 385

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


Find the LCM of 311, 564, 165, 385 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 311, 564, 165, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,564,165,385

Given numbers are 311,564,165,385

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

The LCM of 311,564,165,385 is 67530540.

Find LCM of 311,564,165,385 with Prime Factorization


3 311, 564, 165, 385
5 311, 188, 55, 385
11 311, 188, 11, 77
311, 188, 1, 7

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

3 x 5 x 11 x 311 x 188 x 1 x 7 = 67530540

Therefore, the lowest common multiple of 311,564,165,385 is 67530540.

LCM Formula to Find Lowest Common Multiple of 311,564,165,385

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.

311 x 564 x 165 x 385 = 11142539100

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.

311 : 1, 311

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

165 : 1, 3, 5, 11, 15, 33, 55, 165

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,564,165,385, is 1.

Now, the common factors can be found like this.

311:311

564:2x 2x 3x 47

165:3x 5x 11

385:5x 7x 11

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 11 = 165

Therefore, the value for common factors is 165.

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 = 11142539100/(1x165)

LCM = 11142539100/165

LCM = 67530540

Thus, we can understand that the LCM of 311,564,165,385 is 67530540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 564, 165, 385

1. What is the LCM of 311, 564, 165, 385?

Answer: LCM of 311, 564, 165, 385 is 67530540.

2. How to calculate the LCM of 311, 564, 165, 385?

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 311, 564, 165, 385.

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}.