Find the LCM of 626, 621, 286, 966 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 626, 621, 286, 966. So, keep reading to learn more.
Given numbers are 626,621,286,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,621,286,966 is 389134746.
Find LCM of 626,621,286,966 with Prime Factorization
2 | 626, 621, 286, 966 |
3 | 313, 621, 143, 483 |
23 | 313, 207, 143, 161 |
313, 9, 143, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 313 x 9 x 143 x 7 = 389134746
Therefore, the lowest common multiple of 626,621,286,966 is 389134746.
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.
626 x 621 x 286 x 966 = 107401189896
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.
626 : 1, 2, 313, 626
621 : 1, 3, 9, 23, 27, 69, 207, 621
286 : 1, 2, 11, 13, 22, 26, 143, 286
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,621,286,966, is 1.
Now, the common factors can be found like this.
626:2x 313
621:3x 3x 3x 23
286:2x 11x 13
966:2x 3x 7x 23
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 23 = 276
Therefore, the value for common factors is 276.
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 = 107401189896/(1x276)
LCM = 107401189896/276
LCM = 389134746
Thus, we can understand that the LCM of 626,621,286,966 is 389134746.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 626, 621, 286, 966?
Answer: LCM of 626, 621, 286, 966 is 389134746.
2. How to calculate the LCM of 626, 621, 286, 966?
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 626, 621, 286, 966.
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}.