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LCM of 409, 167, 334, 305

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


Find the LCM of 409, 167, 334, 305 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 409, 167, 334, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,167,334,305

Given numbers are 409,167,334,305

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

The LCM of 409,167,334,305 is 41664830.

Find LCM of 409,167,334,305 with Prime Factorization


167 409, 167, 334, 305
409, 1, 2, 305

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

167 x 409 x 1 x 2 x 305 = 41664830

Therefore, the lowest common multiple of 409,167,334,305 is 41664830.

LCM Formula to Find Lowest Common Multiple of 409,167,334,305

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.

409 x 167 x 334 x 305 = 6958026610

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.

409 : 1, 409

167 : 1, 167

334 : 1, 2, 167, 334

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,167,334,305, is 1.

Now, the common factors can be found like this.

409:409

167:167

334:2x 167

305:5x 61

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

167 = 167

Therefore, the value for common factors is 167.

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 = 6958026610/(1x167)

LCM = 6958026610/167

LCM = 41664830

Thus, we can understand that the LCM of 409,167,334,305 is 41664830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 167, 334, 305

1. What is the LCM of 409, 167, 334, 305?

Answer: LCM of 409, 167, 334, 305 is 41664830.

2. How to calculate the LCM of 409, 167, 334, 305?

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 409, 167, 334, 305.

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}.