Find the LCM of 229, 949, 924, 286, 786 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 229, 949, 924, 286, 786. So, keep reading to learn more.
Given numbers are 229,949,924,286,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,949,924,286,786 is 26305403124.
Find LCM of 229,949,924,286,786 with Prime Factorization
2 | 229, 949, 924, 286, 786 |
3 | 229, 949, 462, 143, 393 |
11 | 229, 949, 154, 143, 131 |
13 | 229, 949, 14, 13, 131 |
229, 73, 14, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 229 x 73 x 14 x 1 x 131 = 26305403124
Therefore, the lowest common multiple of 229,949,924,286,786 is 26305403124.
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.
229 x 949 x 924 x 286 x 786 = 45140071760784
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.
229 : 1, 229
949 : 1, 13, 73, 949
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
286 : 1, 2, 11, 13, 22, 26, 143, 286
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,949,924,286,786, is 1.
Now, the common factors can be found like this.
229:229
949:13x 73
924:2x 2x 3x 7x 11
286:2x 11x 13
786:2x 3x 131
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 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 45140071760784/(1x1716)
LCM = 45140071760784/1716
LCM = 26305403124
Thus, we can understand that the LCM of 229,949,924,286,786 is 26305403124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 949, 924, 286, 786?
Answer: LCM of 229, 949, 924, 286, 786 is 26305403124.
2. How to calculate the LCM of 229, 949, 924, 286, 786?
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 229, 949, 924, 286, 786.
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}.