LCM of 209, 257, 317, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 257, 317, 319 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 209, 257, 317, 319. So, keep reading to learn more.
Given numbers are 209,257,317,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,257,317,319 is 493783609.
Find LCM of 209,257,317,319 with Prime Factorization
| 11 | 209, 257, 317, 319 |
| 19, 257, 317, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 257 x 317 x 29 = 493783609
Therefore, the lowest common multiple of 209,257,317,319 is 493783609.
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.
209 x 257 x 317 x 319 = 5431619699
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.
209 : 1, 11, 19, 209
257 : 1, 257
317 : 1, 317
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,257,317,319, is 1.
Now, the common factors can be found like this.
209:11x 19
257:257
317:317
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 5431619699/(1x11)
LCM = 5431619699/11
LCM = 493783609
Thus, we can understand that the LCM of 209,257,317,319 is 493783609.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 257, 317, 319
1. What is the LCM of 209, 257, 317, 319?
Answer: LCM of 209, 257, 317, 319 is 493783609.
2. How to calculate the LCM of 209, 257, 317, 319?
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 209, 257, 317, 319.
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}.