Find the LCM of 481, 694, 289, 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 481, 694, 289, 969. So, keep reading to learn more.
Given numbers are 481,694,289,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,694,289,969 is 5498918022.
Find LCM of 481,694,289,969 with Prime Factorization
17 | 481, 694, 289, 969 |
481, 694, 17, 57 |
Multiply the prime numbers at the bottom and the left side.
17 x 481 x 694 x 17 x 57 = 5498918022
Therefore, the lowest common multiple of 481,694,289,969 is 5498918022.
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.
481 x 694 x 289 x 969 = 93481606374
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.
481 : 1, 13, 37, 481
694 : 1, 2, 347, 694
289 : 1, 17, 289
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,694,289,969, is 1.
Now, the common factors can be found like this.
481:13x 37
694:2x 347
289:17x 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.
17 = 17
Therefore, the value for common factors is 17.
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 = 93481606374/(1x17)
LCM = 93481606374/17
LCM = 5498918022
Thus, we can understand that the LCM of 481,694,289,969 is 5498918022.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 694, 289, 969?
Answer: LCM of 481, 694, 289, 969 is 5498918022.
2. How to calculate the LCM of 481, 694, 289, 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 481, 694, 289, 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}.