LCM of 351, 684, 988, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 684, 988, 912 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 351, 684, 988, 912. So, keep reading to learn more.
Given numbers are 351,684,988,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,684,988,912 is 106704.
Find LCM of 351,684,988,912 with Prime Factorization
| 2 | 351, 684, 988, 912 |
| 2 | 351, 342, 494, 456 |
| 3 | 351, 171, 247, 228 |
| 3 | 117, 57, 247, 76 |
| 13 | 39, 19, 247, 76 |
| 19 | 3, 19, 19, 76 |
| 3, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 19 x 3 x 1 x 1 x 4 = 106704
Therefore, the lowest common multiple of 351,684,988,912 is 106704.
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.
351 x 684 x 988 x 912 = 216329128704
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,684,988,912, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
684:2x 2x 3x 3x 19
988:2x 2x 13x 19
912:2x 2x 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 13x 19x 19 = 2027376
Therefore, the value for common factors is 2027376.
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 = 216329128704/(1x2027376)
LCM = 216329128704/2027376
LCM = 106704
Thus, we can understand that the LCM of 351,684,988,912 is 106704.
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FAQs on LCM of 351, 684, 988, 912
1. What is the LCM of 351, 684, 988, 912?
Answer: LCM of 351, 684, 988, 912 is 106704.
2. How to calculate the LCM of 351, 684, 988, 912?
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 351, 684, 988, 912.
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}.