LCM of 225, 784, 815, 735, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 784, 815, 735, 711 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 225, 784, 815, 735, 711. So, keep reading to learn more.
Given numbers are 225,784,815,735,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,784,815,735,711 is 2271502800.
Find LCM of 225,784,815,735,711 with Prime Factorization
| 3 | 225, 784, 815, 735, 711 |
| 3 | 75, 784, 815, 245, 237 |
| 5 | 25, 784, 815, 245, 79 |
| 7 | 5, 784, 163, 49, 79 |
| 7 | 5, 112, 163, 7, 79 |
| 5, 16, 163, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 7 x 5 x 16 x 163 x 1 x 79 = 2271502800
Therefore, the lowest common multiple of 225,784,815,735,711 is 2271502800.
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.
225 x 784 x 815 x 735 x 711 = 75129955110000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
815 : 1, 5, 163, 815
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,784,815,735,711, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
784:2x 2x 2x 2x 7x 7
815:5x 163
735:3x 5x 7x 7
711:3x 3x 79
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 3x 5x 5x 7x 7 = 33075
Therefore, the value for common factors is 33075.
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 = 75129955110000/(1x33075)
LCM = 75129955110000/33075
LCM = 2271502800
Thus, we can understand that the LCM of 225,784,815,735,711 is 2271502800.
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FAQs on LCM of 225, 784, 815, 735, 711
1. What is the LCM of 225, 784, 815, 735, 711?
Answer: LCM of 225, 784, 815, 735, 711 is 2271502800.
2. How to calculate the LCM of 225, 784, 815, 735, 711?
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 225, 784, 815, 735, 711.
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}.