LCM of 923, 420, 414, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 420, 414, 106 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 923, 420, 414, 106. So, keep reading to learn more.
Given numbers are 923,420,414,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,420,414,106 is 1417672620.
Find LCM of 923,420,414,106 with Prime Factorization
| 2 | 923, 420, 414, 106 |
| 3 | 923, 210, 207, 53 |
| 923, 70, 69, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 923 x 70 x 69 x 53 = 1417672620
Therefore, the lowest common multiple of 923,420,414,106 is 1417672620.
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.
923 x 420 x 414 x 106 = 17012071440
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.
923 : 1, 13, 71, 923
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,420,414,106, is 1.
Now, the common factors can be found like this.
923:13x 71
420:2x 2x 3x 5x 7
414:2x 3x 3x 23
106:2x 53
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 3 = 12
Therefore, the value for common factors is 12.
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 = 17012071440/(1x12)
LCM = 17012071440/12
LCM = 1417672620
Thus, we can understand that the LCM of 923,420,414,106 is 1417672620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 923, 420, 414, 106
1. What is the LCM of 923, 420, 414, 106?
Answer: LCM of 923, 420, 414, 106 is 1417672620.
2. How to calculate the LCM of 923, 420, 414, 106?
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 923, 420, 414, 106.
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}.