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LCM of 227, 454, 335, 171

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


Find the LCM of 227, 454, 335, 171 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 227, 454, 335, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,454,335,171

Given numbers are 227,454,335,171

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

The LCM of 227,454,335,171 is 26007390.

Find LCM of 227,454,335,171 with Prime Factorization


227 227, 454, 335, 171
1, 2, 335, 171

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

227 x 1 x 2 x 335 x 171 = 26007390

Therefore, the lowest common multiple of 227,454,335,171 is 26007390.

LCM Formula to Find Lowest Common Multiple of 227,454,335,171

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.

227 x 454 x 335 x 171 = 5903677530

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.

227 : 1, 227

454 : 1, 2, 227, 454

335 : 1, 5, 67, 335

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,454,335,171, is 1.

Now, the common factors can be found like this.

227:227

454:2x 227

335:5x 67

171:3x 3x 19

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

227 = 227

Therefore, the value for common factors is 227.

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 = 5903677530/(1x227)

LCM = 5903677530/227

LCM = 26007390

Thus, we can understand that the LCM of 227,454,335,171 is 26007390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 454, 335, 171

1. What is the LCM of 227, 454, 335, 171?

Answer: LCM of 227, 454, 335, 171 is 26007390.

2. How to calculate the LCM of 227, 454, 335, 171?

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 227, 454, 335, 171.

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}.