LCM of 396, 351, 762, 918, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 351, 762, 918, 969 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 396, 351, 762, 918, 969. So, keep reading to learn more.
Given numbers are 396,351,762,918,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,351,762,918,969 is 633528324.
Find LCM of 396,351,762,918,969 with Prime Factorization
| 2 | 396, 351, 762, 918, 969 |
| 3 | 198, 351, 381, 459, 969 |
| 3 | 66, 117, 127, 153, 323 |
| 3 | 22, 39, 127, 51, 323 |
| 17 | 22, 13, 127, 17, 323 |
| 22, 13, 127, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 22 x 13 x 127 x 1 x 19 = 633528324
Therefore, the lowest common multiple of 396,351,762,918,969 is 633528324.
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.
396 x 351 x 762 x 918 x 969 = 94215798231984
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
351 : 1, 3, 9, 13, 27, 39, 117, 351
762 : 1, 2, 3, 6, 127, 254, 381, 762
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,351,762,918,969, is 3.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
351:3x 3x 3x 13
762:2x 3x 127
918:2x 3x 3x 3x 17
969:3x 17x 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 3x 3x 3x 3x 3x 3x 17 = 49572
Therefore, the value for common factors is 49572.
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 = 94215798231984/(3x49572)
LCM = 94215798231984/148716
LCM = 633528324
Thus, we can understand that the LCM of 396,351,762,918,969 is 633528324.
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FAQs on LCM of 396, 351, 762, 918, 969
1. What is the LCM of 396, 351, 762, 918, 969?
Answer: LCM of 396, 351, 762, 918, 969 is 633528324.
2. How to calculate the LCM of 396, 351, 762, 918, 969?
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 396, 351, 762, 918, 969.
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}.