LCM of 311, 364, 489, 226, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 364, 489, 226, 120 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 311, 364, 489, 226, 120. So, keep reading to learn more.
Given numbers are 311,364,489,226,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,364,489,226,120 is 62553134280.
Find LCM of 311,364,489,226,120 with Prime Factorization
| 2 | 311, 364, 489, 226, 120 |
| 2 | 311, 182, 489, 113, 60 |
| 3 | 311, 91, 489, 113, 30 |
| 311, 91, 163, 113, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 311 x 91 x 163 x 113 x 10 = 62553134280
Therefore, the lowest common multiple of 311,364,489,226,120 is 62553134280.
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.
311 x 364 x 489 x 226 x 120 = 1501275222720
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.
311 : 1, 311
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
489 : 1, 3, 163, 489
226 : 1, 2, 113, 226
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,364,489,226,120, is 1.
Now, the common factors can be found like this.
311:311
364:2x 2x 7x 13
489:3x 163
226:2x 113
120:2x 2x 2x 3x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 1501275222720/(1x24)
LCM = 1501275222720/24
LCM = 62553134280
Thus, we can understand that the LCM of 311,364,489,226,120 is 62553134280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 364, 489, 226, 120
1. What is the LCM of 311, 364, 489, 226, 120?
Answer: LCM of 311, 364, 489, 226, 120 is 62553134280.
2. How to calculate the LCM of 311, 364, 489, 226, 120?
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 311, 364, 489, 226, 120.
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}.