Find the LCM of 702, 214, 407, 923 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 702, 214, 407, 923. So, keep reading to learn more.
Given numbers are 702,214,407,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,214,407,923 is 2170569258.
Find LCM of 702,214,407,923 with Prime Factorization
2 | 702, 214, 407, 923 |
13 | 351, 107, 407, 923 |
27, 107, 407, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 27 x 107 x 407 x 71 = 2170569258
Therefore, the lowest common multiple of 702,214,407,923 is 2170569258.
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.
702 x 214 x 407 x 923 = 56434800708
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
214 : 1, 2, 107, 214
407 : 1, 11, 37, 407
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,214,407,923, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
214:2x 107
407:11x 37
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 56434800708/(1x26)
LCM = 56434800708/26
LCM = 2170569258
Thus, we can understand that the LCM of 702,214,407,923 is 2170569258.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 214, 407, 923?
Answer: LCM of 702, 214, 407, 923 is 2170569258.
2. How to calculate the LCM of 702, 214, 407, 923?
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 702, 214, 407, 923.
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}.