LCM of 998, 692, 143, 715, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 692, 143, 715, 441 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 998, 692, 143, 715, 441. So, keep reading to learn more.
Given numbers are 998,692,143,715,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,692,143,715,441 is 108880792020.
Find LCM of 998,692,143,715,441 with Prime Factorization
| 2 | 998, 692, 143, 715, 441 |
| 11 | 499, 346, 143, 715, 441 |
| 13 | 499, 346, 13, 65, 441 |
| 499, 346, 1, 5, 441 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 499 x 346 x 1 x 5 x 441 = 108880792020
Therefore, the lowest common multiple of 998,692,143,715,441 is 108880792020.
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.
998 x 692 x 143 x 715 x 441 = 31139906517720
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.
998 : 1, 2, 499, 998
692 : 1, 2, 4, 173, 346, 692
143 : 1, 11, 13, 143
715 : 1, 5, 11, 13, 55, 65, 143, 715
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,692,143,715,441, is 1.
Now, the common factors can be found like this.
998:2x 499
692:2x 2x 173
143:11x 13
715:5x 11x 13
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 31139906517720/(1x286)
LCM = 31139906517720/286
LCM = 108880792020
Thus, we can understand that the LCM of 998,692,143,715,441 is 108880792020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 998, 692, 143, 715, 441
1. What is the LCM of 998, 692, 143, 715, 441?
Answer: LCM of 998, 692, 143, 715, 441 is 108880792020.
2. How to calculate the LCM of 998, 692, 143, 715, 441?
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 998, 692, 143, 715, 441.
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}.