Find the LCM of 818, 978, 143, 949, 910 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 818, 978, 143, 949, 910. So, keep reading to learn more.
Given numbers are 818,978,143,949,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,978,143,949,910 is 146146730730.
Find LCM of 818,978,143,949,910 with Prime Factorization
2 | 818, 978, 143, 949, 910 |
13 | 409, 489, 143, 949, 455 |
409, 489, 11, 73, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 409 x 489 x 11 x 73 x 35 = 146146730730
Therefore, the lowest common multiple of 818,978,143,949,910 is 146146730730.
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.
818 x 978 x 143 x 949 x 910 = 98795189973480
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.
818 : 1, 2, 409, 818
978 : 1, 2, 3, 6, 163, 326, 489, 978
143 : 1, 11, 13, 143
949 : 1, 13, 73, 949
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,978,143,949,910, is 1.
Now, the common factors can be found like this.
818:2x 409
978:2x 3x 163
143:11x 13
949:13x 73
910:2x 5x 7x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 98795189973480/(1x676)
LCM = 98795189973480/676
LCM = 146146730730
Thus, we can understand that the LCM of 818,978,143,949,910 is 146146730730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 978, 143, 949, 910?
Answer: LCM of 818, 978, 143, 949, 910 is 146146730730.
2. How to calculate the LCM of 818, 978, 143, 949, 910?
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 818, 978, 143, 949, 910.
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}.