LCM of 335, 560, 687, 319, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 560, 687, 319, 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 335, 560, 687, 319, 319. So, keep reading to learn more.
Given numbers are 335,560,687,319,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,560,687,319,319 is 8222620560.
Find LCM of 335,560,687,319,319 with Prime Factorization
| 5 | 335, 560, 687, 319, 319 |
| 11 | 67, 112, 687, 319, 319 |
| 29 | 67, 112, 687, 29, 29 |
| 67, 112, 687, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 29 x 67 x 112 x 687 x 1 x 1 = 8222620560
Therefore, the lowest common multiple of 335,560,687,319,319 is 8222620560.
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.
335 x 560 x 687 x 319 x 319 = 13115079793200
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.
335 : 1, 5, 67, 335
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
687 : 1, 3, 229, 687
319 : 1, 11, 29, 319
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,560,687,319,319, is 1.
Now, the common factors can be found like this.
335:5x 67
560:2x 2x 2x 2x 5x 7
687:3x 229
319:11x 29
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.
5x 11x 29 = 1595
Therefore, the value for common factors is 1595.
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 = 13115079793200/(1x1595)
LCM = 13115079793200/1595
LCM = 8222620560
Thus, we can understand that the LCM of 335,560,687,319,319 is 8222620560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 335, 560, 687, 319, 319
1. What is the LCM of 335, 560, 687, 319, 319?
Answer: LCM of 335, 560, 687, 319, 319 is 8222620560.
2. How to calculate the LCM of 335, 560, 687, 319, 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 335, 560, 687, 319, 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}.