LCM of 984, 923, 436, 436, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 923, 436, 436, 716 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 984, 923, 436, 436, 716. So, keep reading to learn more.
Given numbers are 984,923,436,436,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,923,436,436,716 is 17720514552.
Find LCM of 984,923,436,436,716 with Prime Factorization
| 2 | 984, 923, 436, 436, 716 |
| 2 | 492, 923, 218, 218, 358 |
| 109 | 246, 923, 109, 109, 179 |
| 246, 923, 1, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 246 x 923 x 1 x 1 x 179 = 17720514552
Therefore, the lowest common multiple of 984,923,436,436,716 is 17720514552.
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.
984 x 923 x 436 x 436 x 716 = 123618309514752
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
923 : 1, 13, 71, 923
436 : 1, 2, 4, 109, 218, 436
436 : 1, 2, 4, 109, 218, 436
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,923,436,436,716, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
923:13x 71
436:2x 2x 109
436:2x 2x 109
716:2x 2x 179
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 2x 2x 2x 109 = 6976
Therefore, the value for common factors is 6976.
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 = 123618309514752/(1x6976)
LCM = 123618309514752/6976
LCM = 17720514552
Thus, we can understand that the LCM of 984,923,436,436,716 is 17720514552.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 984, 923, 436, 436, 716
1. What is the LCM of 984, 923, 436, 436, 716?
Answer: LCM of 984, 923, 436, 436, 716 is 17720514552.
2. How to calculate the LCM of 984, 923, 436, 436, 716?
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 984, 923, 436, 436, 716.
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}.