LCM of 339, 114, 285, 361, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 114, 285, 361, 300 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 339, 114, 285, 361, 300. So, keep reading to learn more.
Given numbers are 339,114,285,361,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,114,285,361,300 is 12237900.
Find LCM of 339,114,285,361,300 with Prime Factorization
| 2 | 339, 114, 285, 361, 300 |
| 3 | 339, 57, 285, 361, 150 |
| 5 | 113, 19, 95, 361, 50 |
| 19 | 113, 19, 19, 361, 10 |
| 113, 1, 1, 19, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 113 x 1 x 1 x 19 x 10 = 12237900
Therefore, the lowest common multiple of 339,114,285,361,300 is 12237900.
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.
339 x 114 x 285 x 361 x 300 = 1192828113000
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.
339 : 1, 3, 113, 339
114 : 1, 2, 3, 6, 19, 38, 57, 114
285 : 1, 3, 5, 15, 19, 57, 95, 285
361 : 1, 19, 361
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,114,285,361,300, is 1.
Now, the common factors can be found like this.
339:3x 113
114:2x 3x 19
285:3x 5x 19
361:19x 19
300:2x 2x 3x 5x 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 3x 3x 3x 5x 19x 19 = 97470
Therefore, the value for common factors is 97470.
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 = 1192828113000/(1x97470)
LCM = 1192828113000/97470
LCM = 12237900
Thus, we can understand that the LCM of 339,114,285,361,300 is 12237900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 114, 285, 361, 300
1. What is the LCM of 339, 114, 285, 361, 300?
Answer: LCM of 339, 114, 285, 361, 300 is 12237900.
2. How to calculate the LCM of 339, 114, 285, 361, 300?
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 339, 114, 285, 361, 300.
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}.