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LCM of 494, 341, 170, 320, 250

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


Find the LCM of 494, 341, 170, 320, 250 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 494, 341, 170, 320, 250. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,341,170,320,250

Given numbers are 494,341,170,320,250

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

The LCM of 494,341,170,320,250 is 11454872000.

Find LCM of 494,341,170,320,250 with Prime Factorization


2 494, 341, 170, 320, 250
5 247, 341, 85, 160, 125
247, 341, 17, 32, 25

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

2 x 5 x 247 x 341 x 17 x 32 x 25 = 11454872000

Therefore, the lowest common multiple of 494,341,170,320,250 is 11454872000.

LCM Formula to Find Lowest Common Multiple of 494,341,170,320,250

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.

494 x 341 x 170 x 320 x 250 = 2290974400000

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

341 : 1, 11, 31, 341

170 : 1, 2, 5, 10, 17, 34, 85, 170

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

250 : 1, 2, 5, 10, 25, 50, 125, 250

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,341,170,320,250, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

341:11x 31

170:2x 5x 17

320:2x 2x 2x 2x 2x 2x 5

250:2x 5x 5x 5

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

2x 2x 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 2290974400000/(1x200)

LCM = 2290974400000/200

LCM = 11454872000

Thus, we can understand that the LCM of 494,341,170,320,250 is 11454872000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 341, 170, 320, 250

1. What is the LCM of 494, 341, 170, 320, 250?

Answer: LCM of 494, 341, 170, 320, 250 is 11454872000.

2. How to calculate the LCM of 494, 341, 170, 320, 250?

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 494, 341, 170, 320, 250.

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}.