Find the LCM of 969, 192, 494, 884, 344 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 969, 192, 494, 884, 344. So, keep reading to learn more.
Given numbers are 969,192,494,884,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,192,494,884,344 is 34666944.
Find LCM of 969,192,494,884,344 with Prime Factorization
2 | 969, 192, 494, 884, 344 |
2 | 969, 96, 247, 442, 172 |
2 | 969, 48, 247, 221, 86 |
3 | 969, 24, 247, 221, 43 |
13 | 323, 8, 247, 221, 43 |
17 | 323, 8, 19, 17, 43 |
19 | 19, 8, 19, 1, 43 |
1, 8, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 19 x 1 x 8 x 1 x 1 x 43 = 34666944
Therefore, the lowest common multiple of 969,192,494,884,344 is 34666944.
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.
969 x 192 x 494 x 884 x 344 = 27948767588352
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
494 : 1, 2, 13, 19, 26, 38, 247, 494
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,192,494,884,344, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
192:2x 2x 2x 2x 2x 2x 3
494:2x 13x 19
884:2x 2x 13x 17
344:2x 2x 2x 43
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 2x 2x 3x 13x 17x 19 = 806208
Therefore, the value for common factors is 806208.
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 = 27948767588352/(1x806208)
LCM = 27948767588352/806208
LCM = 34666944
Thus, we can understand that the LCM of 969,192,494,884,344 is 34666944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 192, 494, 884, 344?
Answer: LCM of 969, 192, 494, 884, 344 is 34666944.
2. How to calculate the LCM of 969, 192, 494, 884, 344?
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 969, 192, 494, 884, 344.
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}.