Find the LCM of 974, 522, 480, 489, 738 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 974, 522, 480, 489, 738. So, keep reading to learn more.
Given numbers are 974,522,480,489,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,522,480,489,738 is 135912972960.
Find LCM of 974,522,480,489,738 with Prime Factorization
2 | 974, 522, 480, 489, 738 |
3 | 487, 261, 240, 489, 369 |
3 | 487, 87, 80, 163, 123 |
487, 29, 80, 163, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 487 x 29 x 80 x 163 x 41 = 135912972960
Therefore, the lowest common multiple of 974,522,480,489,738 is 135912972960.
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.
974 x 522 x 480 x 489 x 738 = 88071606478080
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.
974 : 1, 2, 487, 974
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
489 : 1, 3, 163, 489
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,522,480,489,738, is 1.
Now, the common factors can be found like this.
974:2x 487
522:2x 3x 3x 29
480:2x 2x 2x 2x 2x 3x 5
489:3x 163
738:2x 3x 3x 41
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 88071606478080/(1x648)
LCM = 88071606478080/648
LCM = 135912972960
Thus, we can understand that the LCM of 974,522,480,489,738 is 135912972960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 522, 480, 489, 738?
Answer: LCM of 974, 522, 480, 489, 738 is 135912972960.
2. How to calculate the LCM of 974, 522, 480, 489, 738?
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 974, 522, 480, 489, 738.
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}.