LCM of 958, 842, 255, 221, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 842, 255, 221, 311 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 958, 842, 255, 221, 311. So, keep reading to learn more.
Given numbers are 958,842,255,221,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,842,255,221,311 is 415806741870.
Find LCM of 958,842,255,221,311 with Prime Factorization
| 2 | 958, 842, 255, 221, 311 |
| 17 | 479, 421, 255, 221, 311 |
| 479, 421, 15, 13, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 479 x 421 x 15 x 13 x 311 = 415806741870
Therefore, the lowest common multiple of 958,842,255,221,311 is 415806741870.
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.
958 x 842 x 255 x 221 x 311 = 14137429223580
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.
958 : 1, 2, 479, 958
842 : 1, 2, 421, 842
255 : 1, 3, 5, 15, 17, 51, 85, 255
221 : 1, 13, 17, 221
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,842,255,221,311, is 1.
Now, the common factors can be found like this.
958:2x 479
842:2x 421
255:3x 5x 17
221:13x 17
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 14137429223580/(1x34)
LCM = 14137429223580/34
LCM = 415806741870
Thus, we can understand that the LCM of 958,842,255,221,311 is 415806741870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 958, 842, 255, 221, 311
1. What is the LCM of 958, 842, 255, 221, 311?
Answer: LCM of 958, 842, 255, 221, 311 is 415806741870.
2. How to calculate the LCM of 958, 842, 255, 221, 311?
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 958, 842, 255, 221, 311.
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}.