LCM of 982, 446, 441, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 446, 441, 369 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 982, 446, 441, 369. So, keep reading to learn more.
Given numbers are 982,446,441,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,446,441,369 is 3959485866.
Find LCM of 982,446,441,369 with Prime Factorization
| 2 | 982, 446, 441, 369 |
| 3 | 491, 223, 441, 369 |
| 3 | 491, 223, 147, 123 |
| 491, 223, 49, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 491 x 223 x 49 x 41 = 3959485866
Therefore, the lowest common multiple of 982,446,441,369 is 3959485866.
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.
982 x 446 x 441 x 369 = 71270745588
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.
982 : 1, 2, 491, 982
446 : 1, 2, 223, 446
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,446,441,369, is 1.
Now, the common factors can be found like this.
982:2x 491
446:2x 223
441:3x 3x 7x 7
369:3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 71270745588/(1x18)
LCM = 71270745588/18
LCM = 3959485866
Thus, we can understand that the LCM of 982,446,441,369 is 3959485866.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 982, 446, 441, 369
1. What is the LCM of 982, 446, 441, 369?
Answer: LCM of 982, 446, 441, 369 is 3959485866.
2. How to calculate the LCM of 982, 446, 441, 369?
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 982, 446, 441, 369.
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}.