LCM of 941, 642, 696, 928, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 642, 696, 928, 414 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 941, 642, 696, 928, 414. So, keep reading to learn more.
Given numbers are 941,642,696,928,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,642,696,928,414 is 19341569952.
Find LCM of 941,642,696,928,414 with Prime Factorization
| 2 | 941, 642, 696, 928, 414 |
| 2 | 941, 321, 348, 464, 207 |
| 2 | 941, 321, 174, 232, 207 |
| 3 | 941, 321, 87, 116, 207 |
| 29 | 941, 107, 29, 116, 69 |
| 941, 107, 1, 4, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 941 x 107 x 1 x 4 x 69 = 19341569952
Therefore, the lowest common multiple of 941,642,696,928,414 is 19341569952.
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.
941 x 642 x 696 x 928 x 414 = 161540792239104
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.
941 : 1, 941
642 : 1, 2, 3, 6, 107, 214, 321, 642
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,642,696,928,414, is 1.
Now, the common factors can be found like this.
941:941
642:2x 3x 107
696:2x 2x 2x 3x 29
928:2x 2x 2x 2x 2x 29
414:2x 3x 3x 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 2x 2x 2x 3x 3x 29 = 8352
Therefore, the value for common factors is 8352.
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 = 161540792239104/(1x8352)
LCM = 161540792239104/8352
LCM = 19341569952
Thus, we can understand that the LCM of 941,642,696,928,414 is 19341569952.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 941, 642, 696, 928, 414
1. What is the LCM of 941, 642, 696, 928, 414?
Answer: LCM of 941, 642, 696, 928, 414 is 19341569952.
2. How to calculate the LCM of 941, 642, 696, 928, 414?
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 941, 642, 696, 928, 414.
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}.