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LCM of 337, 221, 717, 169, 301

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


Find the LCM of 337, 221, 717, 169, 301 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 337, 221, 717, 169, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,221,717,169,301

Given numbers are 337,221,717,169,301

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

The LCM of 337,221,717,169,301 is 208954235217.

Find LCM of 337,221,717,169,301 with Prime Factorization


13 337, 221, 717, 169, 301
337, 17, 717, 13, 301

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

13 x 337 x 17 x 717 x 13 x 301 = 208954235217

Therefore, the lowest common multiple of 337,221,717,169,301 is 208954235217.

LCM Formula to Find Lowest Common Multiple of 337,221,717,169,301

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.

337 x 221 x 717 x 169 x 301 = 2716405057821

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.

337 : 1, 337

221 : 1, 13, 17, 221

717 : 1, 3, 239, 717

169 : 1, 13, 169

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,221,717,169,301, is 1.

Now, the common factors can be found like this.

337:337

221:13x 17

717:3x 239

169:13x 13

301:7x 43

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

13 = 13

Therefore, the value for common factors is 13.

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 = 2716405057821/(1x13)

LCM = 2716405057821/13

LCM = 208954235217

Thus, we can understand that the LCM of 337,221,717,169,301 is 208954235217.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 221, 717, 169, 301

1. What is the LCM of 337, 221, 717, 169, 301?

Answer: LCM of 337, 221, 717, 169, 301 is 208954235217.

2. How to calculate the LCM of 337, 221, 717, 169, 301?

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 337, 221, 717, 169, 301.

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}.