Find the LCM of 605, 978, 544, 831, 870 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 605, 978, 544, 831, 870. So, keep reading to learn more.
Given numbers are 605,978,544,831,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,978,544,831,870 is 1292828449440.
Find LCM of 605,978,544,831,870 with Prime Factorization
2 | 605, 978, 544, 831, 870 |
3 | 605, 489, 272, 831, 435 |
5 | 605, 163, 272, 277, 145 |
121, 163, 272, 277, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 121 x 163 x 272 x 277 x 29 = 1292828449440
Therefore, the lowest common multiple of 605,978,544,831,870 is 1292828449440.
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.
605 x 978 x 544 x 831 x 870 = 232709120899200
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.
605 : 1, 5, 11, 55, 121, 605
978 : 1, 2, 3, 6, 163, 326, 489, 978
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
831 : 1, 3, 277, 831
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,978,544,831,870, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
978:2x 3x 163
544:2x 2x 2x 2x 2x 17
831:3x 277
870:2x 3x 5x 29
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 232709120899200/(1x180)
LCM = 232709120899200/180
LCM = 1292828449440
Thus, we can understand that the LCM of 605,978,544,831,870 is 1292828449440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 978, 544, 831, 870?
Answer: LCM of 605, 978, 544, 831, 870 is 1292828449440.
2. How to calculate the LCM of 605, 978, 544, 831, 870?
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 605, 978, 544, 831, 870.
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}.