Find the LCM of 969, 489, 489, 470 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, 489, 489, 470. So, keep reading to learn more.
Given numbers are 969,489,489,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,489,489,470 is 74235090.
Find LCM of 969,489,489,470 with Prime Factorization
3 | 969, 489, 489, 470 |
163 | 323, 163, 163, 470 |
323, 1, 1, 470 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 323 x 1 x 1 x 470 = 74235090
Therefore, the lowest common multiple of 969,489,489,470 is 74235090.
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 489 x 489 x 470 = 108902877030
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
489 : 1, 3, 163, 489
489 : 1, 3, 163, 489
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,489,489,470, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
489:3x 163
489:3x 163
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 163 = 1467
Therefore, the value for common factors is 1467.
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 = 108902877030/(1x1467)
LCM = 108902877030/1467
LCM = 74235090
Thus, we can understand that the LCM of 969,489,489,470 is 74235090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 489, 489, 470?
Answer: LCM of 969, 489, 489, 470 is 74235090.
2. How to calculate the LCM of 969, 489, 489, 470?
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, 489, 489, 470.
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}.