Find the LCM of 960, 678, 274, 862, 986 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 960, 678, 274, 862, 986. So, keep reading to learn more.
Given numbers are 960,678,274,862,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,678,274,862,986 is 3157871350080.
Find LCM of 960,678,274,862,986 with Prime Factorization
2 | 960, 678, 274, 862, 986 |
3 | 480, 339, 137, 431, 493 |
160, 113, 137, 431, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 160 x 113 x 137 x 431 x 493 = 3157871350080
Therefore, the lowest common multiple of 960,678,274,862,986 is 3157871350080.
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.
960 x 678 x 274 x 862 x 986 = 151577824803840
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
678 : 1, 2, 3, 6, 113, 226, 339, 678
274 : 1, 2, 137, 274
862 : 1, 2, 431, 862
986 : 1, 2, 17, 29, 34, 58, 493, 986
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,678,274,862,986, is 2.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
678:2x 3x 113
274:2x 137
862:2x 431
986:2x 17x 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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 151577824803840/(2x24)
LCM = 151577824803840/48
LCM = 3157871350080
Thus, we can understand that the LCM of 960,678,274,862,986 is 3157871350080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 678, 274, 862, 986?
Answer: LCM of 960, 678, 274, 862, 986 is 3157871350080.
2. How to calculate the LCM of 960, 678, 274, 862, 986?
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 960, 678, 274, 862, 986.
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}.