Find the LCM of 286, 964, 908, 978 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 286, 964, 908, 978. So, keep reading to learn more.
Given numbers are 286,964,908,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,964,908,978 is 15301985556.
Find LCM of 286,964,908,978 with Prime Factorization
2 | 286, 964, 908, 978 |
2 | 143, 482, 454, 489 |
143, 241, 227, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 143 x 241 x 227 x 489 = 15301985556
Therefore, the lowest common multiple of 286,964,908,978 is 15301985556.
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.
286 x 964 x 908 x 978 = 244831768896
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
964 : 1, 2, 4, 241, 482, 964
908 : 1, 2, 4, 227, 454, 908
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,964,908,978, is 2.
Now, the common factors can be found like this.
286:2x 11x 13
964:2x 2x 241
908:2x 2x 227
978:2x 3x 163
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 2 = 8
Therefore, the value for common factors is 8.
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 = 244831768896/(2x8)
LCM = 244831768896/16
LCM = 15301985556
Thus, we can understand that the LCM of 286,964,908,978 is 15301985556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 964, 908, 978?
Answer: LCM of 286, 964, 908, 978 is 15301985556.
2. How to calculate the LCM of 286, 964, 908, 978?
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 286, 964, 908, 978.
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}.