LCM of 312, 411, 225, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 411, 225, 285 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 312, 411, 225, 285. So, keep reading to learn more.
Given numbers are 312,411,225,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,411,225,285 is 60910200.
Find LCM of 312,411,225,285 with Prime Factorization
| 3 | 312, 411, 225, 285 |
| 5 | 104, 137, 75, 95 |
| 104, 137, 15, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 104 x 137 x 15 x 19 = 60910200
Therefore, the lowest common multiple of 312,411,225,285 is 60910200.
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.
312 x 411 x 225 x 285 = 8222877000
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
411 : 1, 3, 137, 411
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
285 : 1, 3, 5, 15, 19, 57, 95, 285
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,411,225,285, is 3.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
411:3x 137
225:3x 3x 5x 5
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 8222877000/(3x45)
LCM = 8222877000/135
LCM = 60910200
Thus, we can understand that the LCM of 312,411,225,285 is 60910200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 411, 225, 285
1. What is the LCM of 312, 411, 225, 285?
Answer: LCM of 312, 411, 225, 285 is 60910200.
2. How to calculate the LCM of 312, 411, 225, 285?
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 312, 411, 225, 285.
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}.