LCM of 110, 285, 972, 858, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 285, 972, 858, 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 110, 285, 972, 858, 228. So, keep reading to learn more.
Given numbers are 110,285,972,858,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,285,972,858,228 is 13204620.
Find LCM of 110,285,972,858,228 with Prime Factorization
| 2 | 110, 285, 972, 858, 228 |
| 2 | 55, 285, 486, 429, 114 |
| 3 | 55, 285, 243, 429, 57 |
| 5 | 55, 95, 81, 143, 19 |
| 11 | 11, 19, 81, 143, 19 |
| 19 | 1, 19, 81, 13, 19 |
| 1, 1, 81, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 19 x 1 x 1 x 81 x 13 x 1 = 13204620
Therefore, the lowest common multiple of 110,285,972,858,228 is 13204620.
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.
110 x 285 x 972 x 858 x 228 = 5961093652800
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
285 : 1, 3, 5, 15, 19, 57, 95, 285
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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 110,285,972,858,228, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
285:3x 5x 19
972:2x 2x 3x 3x 3x 3x 3
858:2x 3x 11x 13
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 3x 5x 11x 19 = 451440
Therefore, the value for common factors is 451440.
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 = 5961093652800/(1x451440)
LCM = 5961093652800/451440
LCM = 13204620
Thus, we can understand that the LCM of 110,285,972,858,228 is 13204620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 285, 972, 858, 228
1. What is the LCM of 110, 285, 972, 858, 228?
Answer: LCM of 110, 285, 972, 858, 228 is 13204620.
2. How to calculate the LCM of 110, 285, 972, 858, 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 110, 285, 972, 858, 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}.