LCM of 482, 428, 187, 715, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 428, 187, 715, 821 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 482, 428, 187, 715, 821. So, keep reading to learn more.
Given numbers are 482,428,187,715,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,428,187,715,821 is 1029340194740.
Find LCM of 482,428,187,715,821 with Prime Factorization
| 2 | 482, 428, 187, 715, 821 |
| 11 | 241, 214, 187, 715, 821 |
| 241, 214, 17, 65, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 241 x 214 x 17 x 65 x 821 = 1029340194740
Therefore, the lowest common multiple of 482,428,187,715,821 is 1029340194740.
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.
482 x 428 x 187 x 715 x 821 = 22645484284280
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.
482 : 1, 2, 241, 482
428 : 1, 2, 4, 107, 214, 428
187 : 1, 11, 17, 187
715 : 1, 5, 11, 13, 55, 65, 143, 715
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,428,187,715,821, is 1.
Now, the common factors can be found like this.
482:2x 241
428:2x 2x 107
187:11x 17
715:5x 11x 13
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 22645484284280/(1x22)
LCM = 22645484284280/22
LCM = 1029340194740
Thus, we can understand that the LCM of 482,428,187,715,821 is 1029340194740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 482, 428, 187, 715, 821
1. What is the LCM of 482, 428, 187, 715, 821?
Answer: LCM of 482, 428, 187, 715, 821 is 1029340194740.
2. How to calculate the LCM of 482, 428, 187, 715, 821?
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 482, 428, 187, 715, 821.
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}.