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LCM of 415, 334, 334, 309

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


Find the LCM of 415, 334, 334, 309 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 415, 334, 334, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,334,334,309

Given numbers are 415,334,334,309

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

The LCM of 415,334,334,309 is 42830490.

Find LCM of 415,334,334,309 with Prime Factorization


2 415, 334, 334, 309
167 415, 167, 167, 309
415, 1, 1, 309

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

2 x 167 x 415 x 1 x 1 x 309 = 42830490

Therefore, the lowest common multiple of 415,334,334,309 is 42830490.

LCM Formula to Find Lowest Common Multiple of 415,334,334,309

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.

415 x 334 x 334 x 309 = 14305383660

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.

415 : 1, 5, 83, 415

334 : 1, 2, 167, 334

334 : 1, 2, 167, 334

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,334,334,309, is 1.

Now, the common factors can be found like this.

415:5x 83

334:2x 167

334:2x 167

309:3x 103

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

2x 167 = 334

Therefore, the value for common factors is 334.

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 = 14305383660/(1x334)

LCM = 14305383660/334

LCM = 42830490

Thus, we can understand that the LCM of 415,334,334,309 is 42830490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 334, 334, 309

1. What is the LCM of 415, 334, 334, 309?

Answer: LCM of 415, 334, 334, 309 is 42830490.

2. How to calculate the LCM of 415, 334, 334, 309?

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 415, 334, 334, 309.

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}.