LCM of 285, 685, 189, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 685, 189, 224 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 285, 685, 189, 224. So, keep reading to learn more.
Given numbers are 285,685,189,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,685,189,224 is 78714720.
Find LCM of 285,685,189,224 with Prime Factorization
| 3 | 285, 685, 189, 224 |
| 5 | 95, 685, 63, 224 |
| 7 | 19, 137, 63, 224 |
| 19, 137, 9, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 19 x 137 x 9 x 32 = 78714720
Therefore, the lowest common multiple of 285,685,189,224 is 78714720.
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.
285 x 685 x 189 x 224 = 8265045600
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
685 : 1, 5, 137, 685
189 : 1, 3, 7, 9, 21, 27, 63, 189
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,685,189,224, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
685:5x 137
189:3x 3x 3x 7
224:2x 2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 8265045600/(1x105)
LCM = 8265045600/105
LCM = 78714720
Thus, we can understand that the LCM of 285,685,189,224 is 78714720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 285, 685, 189, 224
1. What is the LCM of 285, 685, 189, 224?
Answer: LCM of 285, 685, 189, 224 is 78714720.
2. How to calculate the LCM of 285, 685, 189, 224?
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 285, 685, 189, 224.
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}.