LCM of 822, 882, 910, 187, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 882, 910, 187, 286 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 822, 882, 910, 187, 286. So, keep reading to learn more.
Given numbers are 822,882,910,187,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,882,910,187,286 is 1468737270.
Find LCM of 822,882,910,187,286 with Prime Factorization
| 2 | 822, 882, 910, 187, 286 |
| 3 | 411, 441, 455, 187, 143 |
| 7 | 137, 147, 455, 187, 143 |
| 11 | 137, 21, 65, 187, 143 |
| 13 | 137, 21, 65, 17, 13 |
| 137, 21, 5, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 137 x 21 x 5 x 17 x 1 = 1468737270
Therefore, the lowest common multiple of 822,882,910,187,286 is 1468737270.
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.
822 x 882 x 910 x 187 x 286 = 35284944174480
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
187 : 1, 11, 17, 187
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,882,910,187,286, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
882:2x 3x 3x 7x 7
910:2x 5x 7x 13
187:11x 17
286:2x 11x 13
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 3x 7x 11x 13 = 24024
Therefore, the value for common factors is 24024.
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 = 35284944174480/(1x24024)
LCM = 35284944174480/24024
LCM = 1468737270
Thus, we can understand that the LCM of 822,882,910,187,286 is 1468737270.
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FAQs on LCM of 822, 882, 910, 187, 286
1. What is the LCM of 822, 882, 910, 187, 286?
Answer: LCM of 822, 882, 910, 187, 286 is 1468737270.
2. How to calculate the LCM of 822, 882, 910, 187, 286?
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 822, 882, 910, 187, 286.
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}.