Find the LCM of 969, 485, 551, 397 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, 485, 551, 397. So, keep reading to learn more.
Given numbers are 969,485,551,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,485,551,397 is 5410707045.
Find LCM of 969,485,551,397 with Prime Factorization
19 | 969, 485, 551, 397 |
51, 485, 29, 397 |
Multiply the prime numbers at the bottom and the left side.
19 x 51 x 485 x 29 x 397 = 5410707045
Therefore, the lowest common multiple of 969,485,551,397 is 5410707045.
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 485 x 551 x 397 = 102803433855
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
485 : 1, 5, 97, 485
551 : 1, 19, 29, 551
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,485,551,397, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
485:5x 97
551:19x 29
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 102803433855/(1x19)
LCM = 102803433855/19
LCM = 5410707045
Thus, we can understand that the LCM of 969,485,551,397 is 5410707045.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 485, 551, 397?
Answer: LCM of 969, 485, 551, 397 is 5410707045.
2. How to calculate the LCM of 969, 485, 551, 397?
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, 485, 551, 397.
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}.