LCM of 902, 216, 378, 396, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 216, 378, 396, 362 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 902, 216, 378, 396, 362. So, keep reading to learn more.
Given numbers are 902,216,378,396,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,216,378,396,362 is 123426072.
Find LCM of 902,216,378,396,362 with Prime Factorization
| 2 | 902, 216, 378, 396, 362 |
| 2 | 451, 108, 189, 198, 181 |
| 3 | 451, 54, 189, 99, 181 |
| 3 | 451, 18, 63, 33, 181 |
| 3 | 451, 6, 21, 11, 181 |
| 11 | 451, 2, 7, 11, 181 |
| 41, 2, 7, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 11 x 41 x 2 x 7 x 1 x 181 = 123426072
Therefore, the lowest common multiple of 902,216,378,396,362 is 123426072.
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.
902 x 216 x 378 x 396 x 362 = 10557372494592
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
362 : 1, 2, 181, 362
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,216,378,396,362, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
216:2x 2x 2x 3x 3x 3
378:2x 3x 3x 3x 7
396:2x 2x 3x 3x 11
362:2x 181
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 3x 3x 11 = 42768
Therefore, the value for common factors is 42768.
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 = 10557372494592/(2x42768)
LCM = 10557372494592/85536
LCM = 123426072
Thus, we can understand that the LCM of 902,216,378,396,362 is 123426072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 216, 378, 396, 362
1. What is the LCM of 902, 216, 378, 396, 362?
Answer: LCM of 902, 216, 378, 396, 362 is 123426072.
2. How to calculate the LCM of 902, 216, 378, 396, 362?
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 902, 216, 378, 396, 362.
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}.