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LCM of 257, 985, 600, 317

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


Find the LCM of 257, 985, 600, 317 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 257, 985, 600, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,985,600,317

Given numbers are 257,985,600,317

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

The LCM of 257,985,600,317 is 9629635800.

Find LCM of 257,985,600,317 with Prime Factorization


5 257, 985, 600, 317
257, 197, 120, 317

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

5 x 257 x 197 x 120 x 317 = 9629635800

Therefore, the lowest common multiple of 257,985,600,317 is 9629635800.

LCM Formula to Find Lowest Common Multiple of 257,985,600,317

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.

257 x 985 x 600 x 317 = 48148179000

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.

257 : 1, 257

985 : 1, 5, 197, 985

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,985,600,317, is 1.

Now, the common factors can be found like this.

257:257

985:5x 197

600:2x 2x 2x 3x 5x 5

317:317

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

5 = 5

Therefore, the value for common factors is 5.

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 = 48148179000/(1x5)

LCM = 48148179000/5

LCM = 9629635800

Thus, we can understand that the LCM of 257,985,600,317 is 9629635800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 985, 600, 317

1. What is the LCM of 257, 985, 600, 317?

Answer: LCM of 257, 985, 600, 317 is 9629635800.

2. How to calculate the LCM of 257, 985, 600, 317?

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 257, 985, 600, 317.

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}.