LCM of 872, 228, 285, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 228, 285, 660 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 872, 228, 285, 660. So, keep reading to learn more.
Given numbers are 872,228,285,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,228,285,660 is 2733720.
Find LCM of 872,228,285,660 with Prime Factorization
| 2 | 872, 228, 285, 660 |
| 2 | 436, 114, 285, 330 |
| 3 | 218, 57, 285, 165 |
| 5 | 218, 19, 95, 55 |
| 19 | 218, 19, 19, 11 |
| 218, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 218 x 1 x 1 x 11 = 2733720
Therefore, the lowest common multiple of 872,228,285,660 is 2733720.
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.
872 x 228 x 285 x 660 = 37397289600
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
285 : 1, 3, 5, 15, 19, 57, 95, 285
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,228,285,660, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
228:2x 2x 3x 19
285:3x 5x 19
660:2x 2x 3x 5x 11
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 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 37397289600/(1x13680)
LCM = 37397289600/13680
LCM = 2733720
Thus, we can understand that the LCM of 872,228,285,660 is 2733720.
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FAQs on LCM of 872, 228, 285, 660
1. What is the LCM of 872, 228, 285, 660?
Answer: LCM of 872, 228, 285, 660 is 2733720.
2. How to calculate the LCM of 872, 228, 285, 660?
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 872, 228, 285, 660.
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}.