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LCM of 317, 847, 221, 255, 194

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


Find the LCM of 317, 847, 221, 255, 194 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 317, 847, 221, 255, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 317,847,221,255,194

Given numbers are 317,847,221,255,194

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

The LCM of 317,847,221,255,194 is 172674391890.

Find LCM of 317,847,221,255,194 with Prime Factorization


17 317, 847, 221, 255, 194
317, 847, 13, 15, 194

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

17 x 317 x 847 x 13 x 15 x 194 = 172674391890

Therefore, the lowest common multiple of 317,847,221,255,194 is 172674391890.

LCM Formula to Find Lowest Common Multiple of 317,847,221,255,194

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.

317 x 847 x 221 x 255 x 194 = 2935464662130

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.

317 : 1, 317

847 : 1, 7, 11, 77, 121, 847

221 : 1, 13, 17, 221

255 : 1, 3, 5, 15, 17, 51, 85, 255

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,847,221,255,194, is 1.

Now, the common factors can be found like this.

317:317

847:7x 11x 11

221:13x 17

255:3x 5x 17

194:2x 97

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

17 = 17

Therefore, the value for common factors is 17.

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 = 2935464662130/(1x17)

LCM = 2935464662130/17

LCM = 172674391890

Thus, we can understand that the LCM of 317,847,221,255,194 is 172674391890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 317, 847, 221, 255, 194

1. What is the LCM of 317, 847, 221, 255, 194?

Answer: LCM of 317, 847, 221, 255, 194 is 172674391890.

2. How to calculate the LCM of 317, 847, 221, 255, 194?

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 317, 847, 221, 255, 194.

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}.