LCM of 880, 285, 153, 412, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 285, 153, 412, 228 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 880, 285, 153, 412, 228. So, keep reading to learn more.
Given numbers are 880,285,153,412,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,285,153,412,228 is 263490480.
Find LCM of 880,285,153,412,228 with Prime Factorization
| 2 | 880, 285, 153, 412, 228 |
| 2 | 440, 285, 153, 206, 114 |
| 3 | 220, 285, 153, 103, 57 |
| 5 | 220, 95, 51, 103, 19 |
| 19 | 44, 19, 51, 103, 19 |
| 44, 1, 51, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 44 x 1 x 51 x 103 x 1 = 263490480
Therefore, the lowest common multiple of 880,285,153,412,228 is 263490480.
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.
880 x 285 x 153 x 412 x 228 = 3604549766400
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
285 : 1, 3, 5, 15, 19, 57, 95, 285
153 : 1, 3, 9, 17, 51, 153
412 : 1, 2, 4, 103, 206, 412
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,285,153,412,228, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
285:3x 5x 19
153:3x 3x 17
412:2x 2x 103
228:2x 2x 3x 19
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 = 3604549766400/(1x13680)
LCM = 3604549766400/13680
LCM = 263490480
Thus, we can understand that the LCM of 880,285,153,412,228 is 263490480.
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FAQs on LCM of 880, 285, 153, 412, 228
1. What is the LCM of 880, 285, 153, 412, 228?
Answer: LCM of 880, 285, 153, 412, 228 is 263490480.
2. How to calculate the LCM of 880, 285, 153, 412, 228?
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 880, 285, 153, 412, 228.
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}.